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Finding the Fourth Proportional to 15,715.61, 21,687.87 and 8,642.02

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Solution

The fourth proportional to 15,715.61, 21,687.87 and 8,642.02 is: 11,926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,715.61 : 21,687.87 = 8,642.02 : x
  2. Step 2: Convert to fraction form
    15,715.61/21,687.87 = 8,642.02/x
  3. Step 3: Cross multiply
    15,715.61x = 21,687.87 × 8,642.02
  4. Step 4: Simplify right side
    15,715.61x = 187,427,006.30
  5. Step 5: Solve for x
    x = 187,427,006.30/15,715.61
  6. Step 6: Final answer
    x = 11,926.17

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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.