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Finding the Fourth Proportional to 24,179.52, 36,269.19 and 7,540.50

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Solution

The fourth proportional to 24,179.52, 36,269.19 and 7,540.50 is: 11,310.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,179.52 : 36,269.19 = 7,540.50 : x
  2. Step 2: Convert to fraction form
    24,179.52/36,269.19 = 7,540.50/x
  3. Step 3: Cross multiply
    24,179.52x = 36,269.19 × 7,540.50
  4. Step 4: Simplify right side
    24,179.52x = 273,487,827.20
  5. Step 5: Solve for x
    x = 273,487,827.20/24,179.52
  6. Step 6: Final answer
    x = 11,310.72

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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.