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Finding the Fourth Proportional to 24,546.52, 36,793.50 and 9,734.92

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Solution

The fourth proportional to 24,546.52, 36,793.50 and 9,734.92 is: 14,591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,546.52 : 36,793.50 = 9,734.92 : x
  2. Step 2: Convert to fraction form
    24,546.52/36,793.50 = 9,734.92/x
  3. Step 3: Cross multiply
    24,546.52x = 36,793.50 × 9,734.92
  4. Step 4: Simplify right side
    24,546.52x = 358,181,779.02
  5. Step 5: Solve for x
    x = 358,181,779.02/24,546.52
  6. Step 6: Final answer
    x = 14,591.96

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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.