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Finding the Fourth Proportional to 16,251.48, 24,380.87 and 5,158.85

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Solution

The fourth proportional to 16,251.48, 24,380.87 and 5,158.85 is: 7,739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,251.48 : 24,380.87 = 5,158.85 : x
  2. Step 2: Convert to fraction form
    16,251.48/24,380.87 = 5,158.85/x
  3. Step 3: Cross multiply
    16,251.48x = 24,380.87 × 5,158.85
  4. Step 4: Simplify right side
    16,251.48x = 125,777,103.50
  5. Step 5: Solve for x
    x = 125,777,103.50/16,251.48
  6. Step 6: Final answer
    x = 7,739.42

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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.