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Finding the Fourth Proportional to 24,116.97, 36,180.74 and 8,105.94

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Solution

The fourth proportional to 24,116.97, 36,180.74 and 8,105.94 is: 12,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,116.97 : 36,180.74 = 8,105.94 : x
  2. Step 2: Convert to fraction form
    24,116.97/36,180.74 = 8,105.94/x
  3. Step 3: Cross multiply
    24,116.97x = 36,180.74 × 8,105.94
  4. Step 4: Simplify right side
    24,116.97x = 293,278,726.69
  5. Step 5: Solve for x
    x = 293,278,726.69/24,116.97
  6. Step 6: Final answer
    x = 12,160.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.