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Finding the Fourth Proportional to 16,234, 24,351.69 and 6,375.42

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Solution

The fourth proportional to 16,234, 24,351.69 and 6,375.42 is: 9,563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234 : 24,351.69 = 6,375.42 : x
  2. Step 2: Convert to fraction form
    16,234/24,351.69 = 6,375.42/x
  3. Step 3: Cross multiply
    16,234x = 24,351.69 × 6,375.42
  4. Step 4: Simplify right side
    16,234x = 155,252,129.70
  5. Step 5: Solve for x
    x = 155,252,129.70/16,234
  6. Step 6: Final answer
    x = 9,563.39

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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.