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Finding the Fourth Proportional to 16,123.70, 24,176.21 and 6,251.42

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Solution

The fourth proportional to 16,123.70, 24,176.21 and 6,251.42 is: 9,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,123.70 : 24,176.21 = 6,251.42 : x
  2. Step 2: Convert to fraction form
    16,123.70/24,176.21 = 6,251.42/x
  3. Step 3: Cross multiply
    16,123.70x = 24,176.21 × 6,251.42
  4. Step 4: Simplify right side
    16,123.70x = 151,135,551.02
  5. Step 5: Solve for x
    x = 151,135,551.02/16,123.70
  6. Step 6: Final answer
    x = 9,373.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.