Notwithstanding Sections 20111 and 20112, the governing board of any school district, without advertising for bids, if the board has determined it to be in the best interests of the district, may authorize by contract, lease, requisition, or purchase order, any public corporation or agency, including any county, city, town, or district, to lease data-processing equipment, purchase materials, supplies, equipment, automotive vehicles, tractors, and other personal property for the district in the manner in which the public corporation or agency is authorized by law to make the leases or purchases from a vendor. Upon receipt of the personal property, if the property complies with the specifications set forth in the contract, lease, requisition, or purchase order, the school district may draw a warrant in favor of the public corporation or agency for the amount of the approved invoice, including the reasonable costs to the public corporation or agency for furnishing the services incidental to the lease or purchase of the personal property, or the school district may make payment directly to the vendor. Alternatively, if there is an existing contract between a public corporation or agency and a vendor for the lease or purchase of the personal property, a school district may authorize the lease or purchase of personal property directly from the vendor by contract, lease, requisition, or purchase order and make payment to the vendor under the same terms that are available to the public corporation or agency under the contract.