Caine, a new partner in the ABC Partnership, has invested \(\$ 12,000\) for a one-third interest in a partnership with a prior capital of \(\$ 21,000\). What is the implied true value of the ABC partnership? If the partners agree to recognize goodwill for the difference between the book value and true value, present the entries the \(\mathrm{ABC}\) partnership should make upon admission of Caine.