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Finding the Fourth Proportional to 12,764.38, 17,613.50 and 7,098.22

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Solution

The fourth proportional to 12,764.38, 17,613.50 and 7,098.22 is: 9,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764.38 : 17,613.50 = 7,098.22 : x
  2. Step 2: Convert to fraction form
    12,764.38/17,613.50 = 7,098.22/x
  3. Step 3: Cross multiply
    12,764.38x = 17,613.50 × 7,098.22
  4. Step 4: Simplify right side
    12,764.38x = 125,024,418.69
  5. Step 5: Solve for x
    x = 125,024,418.69/12,764.38
  6. Step 6: Final answer
    x = 9,794.79

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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.