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Finding the Fourth Proportional to 24,291.50, 36,439.56 and 6,761.48

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Solution

The fourth proportional to 24,291.50, 36,439.56 and 6,761.48 is: 10,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,291.50 : 36,439.56 = 6,761.48 : x
  2. Step 2: Convert to fraction form
    24,291.50/36,439.56 = 6,761.48/x
  3. Step 3: Cross multiply
    24,291.50x = 36,439.56 × 6,761.48
  4. Step 4: Simplify right side
    24,291.50x = 246,385,173.95
  5. Step 5: Solve for x
    x = 246,385,173.95/24,291.50
  6. Step 6: Final answer
    x = 10,142.86

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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.