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Finding the Fourth Proportional to 24,321.91, 36,481.53 and 7,454.89

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Solution

The fourth proportional to 24,321.91, 36,481.53 and 7,454.89 is: 11,181.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,321.91 : 36,481.53 = 7,454.89 : x
  2. Step 2: Convert to fraction form
    24,321.91/36,481.53 = 7,454.89/x
  3. Step 3: Cross multiply
    24,321.91x = 36,481.53 × 7,454.89
  4. Step 4: Simplify right side
    24,321.91x = 271,965,793.18
  5. Step 5: Solve for x
    x = 271,965,793.18/24,321.91
  6. Step 6: Final answer
    x = 11,181.93

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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.