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Finding the Fourth Proportional to 24,469.31, 36,702.02 and 7,824.87

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Solution

The fourth proportional to 24,469.31, 36,702.02 and 7,824.87 is: 11,736.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,469.31 : 36,702.02 = 7,824.87 : x
  2. Step 2: Convert to fraction form
    24,469.31/36,702.02 = 7,824.87/x
  3. Step 3: Cross multiply
    24,469.31x = 36,702.02 × 7,824.87
  4. Step 4: Simplify right side
    24,469.31x = 287,188,554.80
  5. Step 5: Solve for x
    x = 287,188,554.80/24,469.31
  6. Step 6: Final answer
    x = 11,736.68

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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.