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Finding the Fourth Proportional to 24,506.70, 36,757.17 and 7,640.97

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Solution

The fourth proportional to 24,506.70, 36,757.17 and 7,640.97 is: 11,460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506.70 : 36,757.17 = 7,640.97 : x
  2. Step 2: Convert to fraction form
    24,506.70/36,757.17 = 7,640.97/x
  3. Step 3: Cross multiply
    24,506.70x = 36,757.17 × 7,640.97
  4. Step 4: Simplify right side
    24,506.70x = 280,860,433.25
  5. Step 5: Solve for x
    x = 280,860,433.25/24,506.70
  6. Step 6: Final answer
    x = 11,460.56

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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.