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Finding the Fourth Proportional to 12,576.71, 17,361.15 and 8,489.29

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Solution

The fourth proportional to 12,576.71, 17,361.15 and 8,489.29 is: 11,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.71 : 17,361.15 = 8,489.29 : x
  2. Step 2: Convert to fraction form
    12,576.71/17,361.15 = 8,489.29/x
  3. Step 3: Cross multiply
    12,576.71x = 17,361.15 × 8,489.29
  4. Step 4: Simplify right side
    12,576.71x = 147,383,837.08
  5. Step 5: Solve for x
    x = 147,383,837.08/12,576.71
  6. Step 6: Final answer
    x = 11,718.79

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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.