Answer:
The missing number is 4
Step-by-step explanation:
Given
21 x 39 x _____ x 19 divided by 12 = 5187
Required
Fill in the gap
Let the missing number be represented with y; So, the expression becomes
[tex]\frac{21 * 39 * y * 19 }{12} = 5187[/tex]
Multiply both sides by 12
[tex]12 * \frac{21 * 39 * y * 19 }{12} = 5187 * 12[/tex]
[tex]21 * 39 * y * 19 = 62244[/tex]
Rearrange the expression on the left hand side
[tex]21 * 39 * 19 * y = 62244[/tex]
[tex]15561 * y = 62244[/tex]
Divide both sides by 15561
[tex]\frac{15561 * y}{15561} = \frac{62244}{15561}[/tex]
[tex]y = \frac{62244}{15561}[/tex]
[tex]y = 4[/tex]
Hence, the missing number is 4
