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Finding the Fourth Proportional to 12,143.56, 16,758.97 and 6,766.44

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Solution

The fourth proportional to 12,143.56, 16,758.97 and 6,766.44 is: 9,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.56 : 16,758.97 = 6,766.44 : x
  2. Step 2: Convert to fraction form
    12,143.56/16,758.97 = 6,766.44/x
  3. Step 3: Cross multiply
    12,143.56x = 16,758.97 × 6,766.44
  4. Step 4: Simplify right side
    12,143.56x = 113,398,564.97
  5. Step 5: Solve for x
    x = 113,398,564.97/12,143.56
  6. Step 6: Final answer
    x = 9,338.17

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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.