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Finding the Fourth Proportional to 12,177.71, 16,805.71 and 6,872.71

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Solution

The fourth proportional to 12,177.71, 16,805.71 and 6,872.71 is: 9,484.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.71 : 16,805.71 = 6,872.71 : x
  2. Step 2: Convert to fraction form
    12,177.71/16,805.71 = 6,872.71/x
  3. Step 3: Cross multiply
    12,177.71x = 16,805.71 × 6,872.71
  4. Step 4: Simplify right side
    12,177.71x = 115,500,687.15
  5. Step 5: Solve for x
    x = 115,500,687.15/12,177.71
  6. Step 6: Final answer
    x = 9,484.60

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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.