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Finding the Fourth Proportional to 20,721.92, 31,076.19 and 8,239.68

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Solution

The fourth proportional to 20,721.92, 31,076.19 and 8,239.68 is: 12,356.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,721.92 : 31,076.19 = 8,239.68 : x
  2. Step 2: Convert to fraction form
    20,721.92/31,076.19 = 8,239.68/x
  3. Step 3: Cross multiply
    20,721.92x = 31,076.19 × 8,239.68
  4. Step 4: Simplify right side
    20,721.92x = 256,057,861.22
  5. Step 5: Solve for x
    x = 256,057,861.22/20,721.92
  6. Step 6: Final answer
    x = 12,356.86

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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.