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Finding the Fourth Proportional to 16,031.54, 22,123.47 and 8,957.97

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Solution

The fourth proportional to 16,031.54, 22,123.47 and 8,957.97 is: 12,361.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,031.54 : 22,123.47 = 8,957.97 : x
  2. Step 2: Convert to fraction form
    16,031.54/22,123.47 = 8,957.97/x
  3. Step 3: Cross multiply
    16,031.54x = 22,123.47 × 8,957.97
  4. Step 4: Simplify right side
    16,031.54x = 198,181,380.56
  5. Step 5: Solve for x
    x = 198,181,380.56/16,031.54
  6. Step 6: Final answer
    x = 12,361.97

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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.