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Finding the Fourth Proportional to 23,714.68, 35,572.02 and 8,132.44

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Solution

The fourth proportional to 23,714.68, 35,572.02 and 8,132.44 is: 12,198.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,714.68 : 35,572.02 = 8,132.44 : x
  2. Step 2: Convert to fraction form
    23,714.68/35,572.02 = 8,132.44/x
  3. Step 3: Cross multiply
    23,714.68x = 35,572.02 × 8,132.44
  4. Step 4: Simplify right side
    23,714.68x = 289,287,318.33
  5. Step 5: Solve for x
    x = 289,287,318.33/23,714.68
  6. Step 6: Final answer
    x = 12,198.66

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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.