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Finding the Fourth Proportional to 12,872.96, 17,772.71 and 9,882.84

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Solution

The fourth proportional to 12,872.96, 17,772.71 and 9,882.84 is: 13,644.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.96 : 17,772.71 = 9,882.84 : x
  2. Step 2: Convert to fraction form
    12,872.96/17,772.71 = 9,882.84/x
  3. Step 3: Cross multiply
    12,872.96x = 17,772.71 × 9,882.84
  4. Step 4: Simplify right side
    12,872.96x = 175,644,849.30
  5. Step 5: Solve for x
    x = 175,644,849.30/12,872.96
  6. Step 6: Final answer
    x = 13,644.48

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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.