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Finding the Fourth Proportional to 11,414.88, 17,076.17 and 9,872.03

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Solution

The fourth proportional to 11,414.88, 17,076.17 and 9,872.03 is: 14,768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.88 : 17,076.17 = 9,872.03 : x
  2. Step 2: Convert to fraction form
    11,414.88/17,076.17 = 9,872.03/x
  3. Step 3: Cross multiply
    11,414.88x = 17,076.17 × 9,872.03
  4. Step 4: Simplify right side
    11,414.88x = 168,576,327.78
  5. Step 5: Solve for x
    x = 168,576,327.78/11,414.88
  6. Step 6: Final answer
    x = 14,768.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.