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Finding the Fourth Proportional to 23,678.52, 35,517.78 and 8,096.28

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Solution

The fourth proportional to 23,678.52, 35,517.78 and 8,096.28 is: 12,144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,678.52 : 35,517.78 = 8,096.28 : x
  2. Step 2: Convert to fraction form
    23,678.52/35,517.78 = 8,096.28/x
  3. Step 3: Cross multiply
    23,678.52x = 35,517.78 × 8,096.28
  4. Step 4: Simplify right side
    23,678.52x = 287,561,891.86
  5. Step 5: Solve for x
    x = 287,561,891.86/23,678.52
  6. Step 6: Final answer
    x = 12,144.42

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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.