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Finding the Fourth Proportional to 24,179.34, 36,252 and 9,375.78

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Solution

The fourth proportional to 24,179.34, 36,252 and 9,375.78 is: 14,057.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,179.34 : 36,252 = 9,375.78 : x
  2. Step 2: Convert to fraction form
    24,179.34/36,252 = 9,375.78/x
  3. Step 3: Cross multiply
    24,179.34x = 36,252 × 9,375.78
  4. Step 4: Simplify right side
    24,179.34x = 339,890,776.56
  5. Step 5: Solve for x
    x = 339,890,776.56/24,179.34
  6. Step 6: Final answer
    x = 14,057.07

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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.