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Finding the Fourth Proportional to 26,680.94, 40,046.50 and 13,542.74

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Solution

The fourth proportional to 26,680.94, 40,046.50 and 13,542.74 is: 20,326.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,680.94 : 40,046.50 = 13,542.74 : x
  2. Step 2: Convert to fraction form
    26,680.94/40,046.50 = 13,542.74/x
  3. Step 3: Cross multiply
    26,680.94x = 40,046.50 × 13,542.74
  4. Step 4: Simplify right side
    26,680.94x = 542,339,337.41
  5. Step 5: Solve for x
    x = 542,339,337.41/26,680.94
  6. Step 6: Final answer
    x = 20,326.85

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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.