The governing body of every multiple municipal local health department established under s. 251.02 (2)
(b) or (3r) and of every city-city local health department established under s. 251.02 (3t) shall annually prepare a budget of its proposed expenditures for the ensuing fiscal year and determine the contribution from each participating municipality in a manner agreed upon by the relevant governing bodies. A certified copy of the budget, which shall include a statement of the amount required from each municipality, shall be delivered to the governing body of each participating municipality. The appropriation to be made by each participating municipality shall be determined by the governing body of the city, village, and town.