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What does Ammonium phosphate + Barium acetate yield?
##(NH_4)_2HPO_4 + Ba(OAc)_2 rarr BaHPO_4(s)darr + 2(NH_4)^+""^(-)OAc(aq)##
##"Barium biphosphate"## would be a fairly insoluble beast in aqueous solution. On the other hand ammonium acetate would display substantial solubility. You will have to look up the solubilities.
I used ##"ammonium biphosphate"## in the equation because this is the commercial product, and is widely used as a fertilizer.