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Finding the Fourth Proportional to 18,566.32, 27,843.96 and 5,414.50

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Solution

The fourth proportional to 18,566.32, 27,843.96 and 5,414.50 is: 8,120.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,566.32 : 27,843.96 = 5,414.50 : x
  2. Step 2: Convert to fraction form
    18,566.32/27,843.96 = 5,414.50/x
  3. Step 3: Cross multiply
    18,566.32x = 27,843.96 × 5,414.50
  4. Step 4: Simplify right side
    18,566.32x = 150,761,121.42
  5. Step 5: Solve for x
    x = 150,761,121.42/18,566.32
  6. Step 6: Final answer
    x = 8,120.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.