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Finding the Fourth Proportional to 22,508.38, 31,061.57 and 12,572.38

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Solution

The fourth proportional to 22,508.38, 31,061.57 and 12,572.38 is: 17,349.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,508.38 : 31,061.57 = 12,572.38 : x
  2. Step 2: Convert to fraction form
    22,508.38/31,061.57 = 12,572.38/x
  3. Step 3: Cross multiply
    22,508.38x = 31,061.57 × 12,572.38
  4. Step 4: Simplify right side
    22,508.38x = 390,517,861.44
  5. Step 5: Solve for x
    x = 390,517,861.44/22,508.38
  6. Step 6: Final answer
    x = 17,349.89

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Why These Related Problems?

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