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Finding the Fourth Proportional to 16,882.88, 25,304.09 and 7,864.83

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Solution

The fourth proportional to 16,882.88, 25,304.09 and 7,864.83 is: 11,787.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,882.88 : 25,304.09 = 7,864.83 : x
  2. Step 2: Convert to fraction form
    16,882.88/25,304.09 = 7,864.83/x
  3. Step 3: Cross multiply
    16,882.88x = 25,304.09 × 7,864.83
  4. Step 4: Simplify right side
    16,882.88x = 199,012,326.83
  5. Step 5: Solve for x
    x = 199,012,326.83/16,882.88
  6. Step 6: Final answer
    x = 11,787.82

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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.