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Finding the Fourth Proportional to 15,715.92, 21,688.56 and 8,642.16

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Solution

The fourth proportional to 15,715.92, 21,688.56 and 8,642.16 is: 11,926.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,715.92 : 21,688.56 = 8,642.16 : x
  2. Step 2: Convert to fraction form
    15,715.92/21,688.56 = 8,642.16/x
  3. Step 3: Cross multiply
    15,715.92x = 21,688.56 × 8,642.16
  4. Step 4: Simplify right side
    15,715.92x = 187,436,005.69
  5. Step 5: Solve for x
    x = 187,436,005.69/15,715.92
  6. Step 6: Final answer
    x = 11,926.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.