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Finding the Fourth Proportional to 24,400.60, 36,604.54 and 7,761.17

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Solution

The fourth proportional to 24,400.60, 36,604.54 and 7,761.17 is: 11,642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,400.60 : 36,604.54 = 7,761.17 : x
  2. Step 2: Convert to fraction form
    24,400.60/36,604.54 = 7,761.17/x
  3. Step 3: Cross multiply
    24,400.60x = 36,604.54 × 7,761.17
  4. Step 4: Simplify right side
    24,400.60x = 284,094,057.71
  5. Step 5: Solve for x
    x = 284,094,057.71/24,400.60
  6. Step 6: Final answer
    x = 11,642.91

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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.