Which value would make the statement true?

To solve the inequality

[ \frac{2}{?} > \frac{4}{12} ]

we first simplify (\frac{4}{12}):

[ \frac{4}{12} = \frac{1}{3} ]

Now, the inequality becomes:

[ \frac{2}{?} > \frac{1}{3} ]

To eliminate the fraction, we can cross-multiply (assuming that (? > 0)):

[ 2 \times 3 > 1 \times ? ]

This simplifies to:

[ 6 > ? ]

So, (? < 6). Therefore, any value less than 6 would satisfy the inequality.

Now, let's check the options:

1. (4): (4 < 6) (True)
2. (6): (6 < 6) (False)
3. (12): (12 < 6) (False)
4. (24): (24 < 6) (False)

The only value from the given options that makes the statement true is:

[ \boxed{4} ]