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Finding the Fourth Proportional to 16,031.50, 22,123.04 and 8,957.76

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Solution

The fourth proportional to 16,031.50, 22,123.04 and 8,957.76 is: 12,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,031.50 : 22,123.04 = 8,957.76 : x
  2. Step 2: Convert to fraction form
    16,031.50/22,123.04 = 8,957.76/x
  3. Step 3: Cross multiply
    16,031.50x = 22,123.04 × 8,957.76
  4. Step 4: Simplify right side
    16,031.50x = 198,172,882.79
  5. Step 5: Solve for x
    x = 198,172,882.79/16,031.50
  6. Step 6: Final answer
    x = 12,361.47

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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.