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Finding the Fourth Proportional to 12,202.18, 16,839 and 6,613.18

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Solution

The fourth proportional to 12,202.18, 16,839 and 6,613.18 is: 9,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.18 : 16,839 = 6,613.18 : x
  2. Step 2: Convert to fraction form
    12,202.18/16,839 = 6,613.18/x
  3. Step 3: Cross multiply
    12,202.18x = 16,839 × 6,613.18
  4. Step 4: Simplify right side
    12,202.18x = 111,359,338.02
  5. Step 5: Solve for x
    x = 111,359,338.02/12,202.18
  6. Step 6: Final answer
    x = 9,126.18

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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.