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Finding the Fourth Proportional to 12,531.72, 17,286.18 and 8,282.82

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Solution

The fourth proportional to 12,531.72, 17,286.18 and 8,282.82 is: 11,425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531.72 : 17,286.18 = 8,282.82 : x
  2. Step 2: Convert to fraction form
    12,531.72/17,286.18 = 8,282.82/x
  3. Step 3: Cross multiply
    12,531.72x = 17,286.18 × 8,282.82
  4. Step 4: Simplify right side
    12,531.72x = 143,178,317.43
  5. Step 5: Solve for x
    x = 143,178,317.43/12,531.72
  6. Step 6: Final answer
    x = 11,425.27

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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.