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Finding the Fourth Proportional to 16,238.50, 24,358.32 and 8,338.88

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Solution

The fourth proportional to 16,238.50, 24,358.32 and 8,338.88 is: 12,508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.50 : 24,358.32 = 8,338.88 : x
  2. Step 2: Convert to fraction form
    16,238.50/24,358.32 = 8,338.88/x
  3. Step 3: Cross multiply
    16,238.50x = 24,358.32 × 8,338.88
  4. Step 4: Simplify right side
    16,238.50x = 203,121,168.38
  5. Step 5: Solve for x
    x = 203,121,168.38/16,238.50
  6. Step 6: Final answer
    x = 12,508.62

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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.