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Finding the Fourth Proportional to 24,375.60, 36,534 and 11,209.92

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Solution

The fourth proportional to 24,375.60, 36,534 and 11,209.92 is: 16,801.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375.60 : 36,534 = 11,209.92 : x
  2. Step 2: Convert to fraction form
    24,375.60/36,534 = 11,209.92/x
  3. Step 3: Cross multiply
    24,375.60x = 36,534 × 11,209.92
  4. Step 4: Simplify right side
    24,375.60x = 409,543,217.28
  5. Step 5: Solve for x
    x = 409,543,217.28/24,375.60
  6. Step 6: Final answer
    x = 16,801.36

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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.