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Finding the Fourth Proportional to 22,732.34, 31,371.60 and 12,660.78

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Solution

The fourth proportional to 22,732.34, 31,371.60 and 12,660.78 is: 17,472.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,732.34 : 31,371.60 = 12,660.78 : x
  2. Step 2: Convert to fraction form
    22,732.34/31,371.60 = 12,660.78/x
  3. Step 3: Cross multiply
    22,732.34x = 31,371.60 × 12,660.78
  4. Step 4: Simplify right side
    22,732.34x = 397,188,925.85
  5. Step 5: Solve for x
    x = 397,188,925.85/22,732.34
  6. Step 6: Final answer
    x = 17,472.42

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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.