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Finding the Fourth Proportional to 24,077.97, 36,107.97 and 8,278.53

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Solution

The fourth proportional to 24,077.97, 36,107.97 and 8,278.53 is: 12,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,077.97 : 36,107.97 = 8,278.53 : x
  2. Step 2: Convert to fraction form
    24,077.97/36,107.97 = 8,278.53/x
  3. Step 3: Cross multiply
    24,077.97x = 36,107.97 × 8,278.53
  4. Step 4: Simplify right side
    24,077.97x = 298,920,732.34
  5. Step 5: Solve for x
    x = 298,920,732.34/24,077.97
  6. Step 6: Final answer
    x = 12,414.70

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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.