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Finding the Fourth Proportional to 24,452.10, 36,680.85 and 7,809.30

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Solution

The fourth proportional to 24,452.10, 36,680.85 and 7,809.30 is: 11,714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,452.10 : 36,680.85 = 7,809.30 : x
  2. Step 2: Convert to fraction form
    24,452.10/36,680.85 = 7,809.30/x
  3. Step 3: Cross multiply
    24,452.10x = 36,680.85 × 7,809.30
  4. Step 4: Simplify right side
    24,452.10x = 286,451,761.91
  5. Step 5: Solve for x
    x = 286,451,761.91/24,452.10
  6. Step 6: Final answer
    x = 11,714.81

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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.