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Finding the Fourth Proportional to 12,763.28, 17,613.48 and 7,174.16

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Solution

The fourth proportional to 12,763.28, 17,613.48 and 7,174.16 is: 9,900.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.28 : 17,613.48 = 7,174.16 : x
  2. Step 2: Convert to fraction form
    12,763.28/17,613.48 = 7,174.16/x
  3. Step 3: Cross multiply
    12,763.28x = 17,613.48 × 7,174.16
  4. Step 4: Simplify right side
    12,763.28x = 126,361,923.68
  5. Step 5: Solve for x
    x = 126,361,923.68/12,763.28
  6. Step 6: Final answer
    x = 9,900.43

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