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Finding the Fourth Proportional to 12,414.56, 17,131.94 and 9,242.03

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Solution

The fourth proportional to 12,414.56, 17,131.94 and 9,242.03 is: 12,753.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.56 : 17,131.94 = 9,242.03 : x
  2. Step 2: Convert to fraction form
    12,414.56/17,131.94 = 9,242.03/x
  3. Step 3: Cross multiply
    12,414.56x = 17,131.94 × 9,242.03
  4. Step 4: Simplify right side
    12,414.56x = 158,333,771.57
  5. Step 5: Solve for x
    x = 158,333,771.57/12,414.56
  6. Step 6: Final answer
    x = 12,753.88

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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.