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Finding the Fourth Proportional to 15,136.97, 22,708.17 and 6,252.30

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Solution

The fourth proportional to 15,136.97, 22,708.17 and 6,252.30 is: 9,379.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,136.97 : 22,708.17 = 6,252.30 : x
  2. Step 2: Convert to fraction form
    15,136.97/22,708.17 = 6,252.30/x
  3. Step 3: Cross multiply
    15,136.97x = 22,708.17 × 6,252.30
  4. Step 4: Simplify right side
    15,136.97x = 141,978,291.29
  5. Step 5: Solve for x
    x = 141,978,291.29/15,136.97
  6. Step 6: Final answer
    x = 9,379.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.