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Finding the Fourth Proportional to 12,872.91, 17,773.19 and 9,883.41

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Solution

The fourth proportional to 12,872.91, 17,773.19 and 9,883.41 is: 13,645.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.91 : 17,773.19 = 9,883.41 : x
  2. Step 2: Convert to fraction form
    12,872.91/17,773.19 = 9,883.41/x
  3. Step 3: Cross multiply
    12,872.91x = 17,773.19 × 9,883.41
  4. Step 4: Simplify right side
    12,872.91x = 175,659,723.78
  5. Step 5: Solve for x
    x = 175,659,723.78/12,872.91
  6. Step 6: Final answer
    x = 13,645.69

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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.