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Finding the Fourth Proportional to 14,613.98, 20,168.31 and 8,241.14

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Solution

The fourth proportional to 14,613.98, 20,168.31 and 8,241.14 is: 11,373.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,613.98 : 20,168.31 = 8,241.14 : x
  2. Step 2: Convert to fraction form
    14,613.98/20,168.31 = 8,241.14/x
  3. Step 3: Cross multiply
    14,613.98x = 20,168.31 × 8,241.14
  4. Step 4: Simplify right side
    14,613.98x = 166,209,765.43
  5. Step 5: Solve for x
    x = 166,209,765.43/14,613.98
  6. Step 6: Final answer
    x = 11,373.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.