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Finding the Fourth Proportional to 13,843, 20,773.14 and 5,635

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Solution

The fourth proportional to 13,843, 20,773.14 and 5,635 is: 8,456.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843 : 20,773.14 = 5,635 : x
  2. Step 2: Convert to fraction form
    13,843/20,773.14 = 5,635/x
  3. Step 3: Cross multiply
    13,843x = 20,773.14 × 5,635
  4. Step 4: Simplify right side
    13,843x = 117,056,643.90
  5. Step 5: Solve for x
    x = 117,056,643.90/13,843
  6. Step 6: Final answer
    x = 8,456.02

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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.