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Finding the Fourth Proportional to 20,472.39, 30,708.97 and 6,432.16

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Solution

The fourth proportional to 20,472.39, 30,708.97 and 6,432.16 is: 9,648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,472.39 : 30,708.97 = 6,432.16 : x
  2. Step 2: Convert to fraction form
    20,472.39/30,708.97 = 6,432.16/x
  3. Step 3: Cross multiply
    20,472.39x = 30,708.97 × 6,432.16
  4. Step 4: Simplify right side
    20,472.39x = 197,524,915.62
  5. Step 5: Solve for x
    x = 197,524,915.62/20,472.39
  6. Step 6: Final answer
    x = 9,648.36

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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.