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Finding the Fourth Proportional to 24,375.62, 36,564.78 and 7,737

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Solution

The fourth proportional to 24,375.62, 36,564.78 and 7,737 is: 11,605.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375.62 : 36,564.78 = 7,737 : x
  2. Step 2: Convert to fraction form
    24,375.62/36,564.78 = 7,737/x
  3. Step 3: Cross multiply
    24,375.62x = 36,564.78 × 7,737
  4. Step 4: Simplify right side
    24,375.62x = 282,901,702.86
  5. Step 5: Solve for x
    x = 282,901,702.86/24,375.62
  6. Step 6: Final answer
    x = 11,605.93

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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.