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Finding the Fourth Proportional to 15,234.27, 22,842.17 and 9,962.91

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Solution

The fourth proportional to 15,234.27, 22,842.17 and 9,962.91 is: 14,938.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,234.27 : 22,842.17 = 9,962.91 : x
  2. Step 2: Convert to fraction form
    15,234.27/22,842.17 = 9,962.91/x
  3. Step 3: Cross multiply
    15,234.27x = 22,842.17 × 9,962.91
  4. Step 4: Simplify right side
    15,234.27x = 227,574,471.46
  5. Step 5: Solve for x
    x = 227,574,471.46/15,234.27
  6. Step 6: Final answer
    x = 14,938.33

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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.