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Finding the Fourth Proportional to 12,850.28, 17,738.28 and 8,375.12

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Solution

The fourth proportional to 12,850.28, 17,738.28 and 8,375.12 is: 11,560.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.28 : 17,738.28 = 8,375.12 : x
  2. Step 2: Convert to fraction form
    12,850.28/17,738.28 = 8,375.12/x
  3. Step 3: Cross multiply
    12,850.28x = 17,738.28 × 8,375.12
  4. Step 4: Simplify right side
    12,850.28x = 148,560,223.59
  5. Step 5: Solve for x
    x = 148,560,223.59/12,850.28
  6. Step 6: Final answer
    x = 11,560.85

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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.