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Finding the Fourth Proportional to 13,911.62, 20,843.96 and 6,882.26

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Solution

The fourth proportional to 13,911.62, 20,843.96 and 6,882.26 is: 10,311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.62 : 20,843.96 = 6,882.26 : x
  2. Step 2: Convert to fraction form
    13,911.62/20,843.96 = 6,882.26/x
  3. Step 3: Cross multiply
    13,911.62x = 20,843.96 × 6,882.26
  4. Step 4: Simplify right side
    13,911.62x = 143,453,552.15
  5. Step 5: Solve for x
    x = 143,453,552.15/13,911.62
  6. Step 6: Final answer
    x = 10,311.78

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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.