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Finding the Fourth Proportional to 12,167.84, 16,791.60 and 6,578.88

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Solution

The fourth proportional to 12,167.84, 16,791.60 and 6,578.88 is: 9,078.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.84 : 16,791.60 = 6,578.88 : x
  2. Step 2: Convert to fraction form
    12,167.84/16,791.60 = 6,578.88/x
  3. Step 3: Cross multiply
    12,167.84x = 16,791.60 × 6,578.88
  4. Step 4: Simplify right side
    12,167.84x = 110,469,921.41
  5. Step 5: Solve for x
    x = 110,469,921.41/12,167.84
  6. Step 6: Final answer
    x = 9,078.84

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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.