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Finding the Fourth Proportional to 12,187.72, 16,818.78 and 6,882.40

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Solution

The fourth proportional to 12,187.72, 16,818.78 and 6,882.40 is: 9,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.72 : 16,818.78 = 6,882.40 : x
  2. Step 2: Convert to fraction form
    12,187.72/16,818.78 = 6,882.40/x
  3. Step 3: Cross multiply
    12,187.72x = 16,818.78 × 6,882.40
  4. Step 4: Simplify right side
    12,187.72x = 115,753,571.47
  5. Step 5: Solve for x
    x = 115,753,571.47/12,187.72
  6. Step 6: Final answer
    x = 9,497.56

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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.