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Finding the Fourth Proportional to 12,331.44, 17,029.80 and 7,857.20

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Solution

The fourth proportional to 12,331.44, 17,029.80 and 7,857.20 is: 10,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,331.44 : 17,029.80 = 7,857.20 : x
  2. Step 2: Convert to fraction form
    12,331.44/17,029.80 = 7,857.20/x
  3. Step 3: Cross multiply
    12,331.44x = 17,029.80 × 7,857.20
  4. Step 4: Simplify right side
    12,331.44x = 133,806,544.56
  5. Step 5: Solve for x
    x = 133,806,544.56/12,331.44
  6. Step 6: Final answer
    x = 10,850.85

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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.