To solve this expression, we will first convert the fractions into decimal form:

2 4/13 = 2 + 4/13 = 2 + 0.3077 = 2.3077
15/39 = 15 ÷ 39 = 0.3846

1 2/7 = 1 + 2/7 = 1 + 0.2857 = 1.2857
0.9 = 0.9

1 11/24 = 1 + 11/24 = 1 + 0.4583 = 1.4583
12/55 = 12 ÷ 55 = 0.2182

Now we multiply the decimal values together:

2.3077 * 0.3846 = 0.8867

1.2857 * 0.9 = 1.1571

1.4583 * 0.2182 = 0.3184

Therefore, the final result is:

0.8867 : 1.1571 : 0.3184