If at the time of the election to dissolve the district there is any indebtedness of the district outstanding, the vote to dissolve shall dissolve the district for all purposes except the levy and collection of taxes or assessments, as the case may be, for the payment of such outstanding indebtedness. From the time the district is thus dissolved until the indebtedness is fully paid, the legislative body of the city which is entitled to the property of the district as provided for in Section 19252 or, if there is no such city, the board of supervisors of the county wherein the district is located shall be the ex officio governing body of the district. That body shall levy such taxes or assessments and perform such other acts as may be necessary to pay the outstanding indebtedness of the district.