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Finding the Fourth Proportional to 23,861.70, 32,930.24 and 13,251.38

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Solution

The fourth proportional to 23,861.70, 32,930.24 and 13,251.38 is: 18,287.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,861.70 : 32,930.24 = 13,251.38 : x
  2. Step 2: Convert to fraction form
    23,861.70/32,930.24 = 13,251.38/x
  3. Step 3: Cross multiply
    23,861.70x = 32,930.24 × 13,251.38
  4. Step 4: Simplify right side
    23,861.70x = 436,371,123.73
  5. Step 5: Solve for x
    x = 436,371,123.73/23,861.70
  6. Step 6: Final answer
    x = 18,287.51

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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.