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Finding the Fourth Proportional to 12,415.31, 17,132.97 and 9,242.78

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Solution

The fourth proportional to 12,415.31, 17,132.97 and 9,242.78 is: 12,754.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.31 : 17,132.97 = 9,242.78 : x
  2. Step 2: Convert to fraction form
    12,415.31/17,132.97 = 9,242.78/x
  3. Step 3: Cross multiply
    12,415.31x = 17,132.97 × 9,242.78
  4. Step 4: Simplify right side
    12,415.31x = 158,356,186.79
  5. Step 5: Solve for x
    x = 158,356,186.79/12,415.31
  6. Step 6: Final answer
    x = 12,754.92

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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.