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Finding the Fourth Proportional to 11,896.38, 17,843.14 and 3,131.97

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Solution

The fourth proportional to 11,896.38, 17,843.14 and 3,131.97 is: 4,697.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.38 : 17,843.14 = 3,131.97 : x
  2. Step 2: Convert to fraction form
    11,896.38/17,843.14 = 3,131.97/x
  3. Step 3: Cross multiply
    11,896.38x = 17,843.14 × 3,131.97
  4. Step 4: Simplify right side
    11,896.38x = 55,884,163.53
  5. Step 5: Solve for x
    x = 55,884,163.53/11,896.38
  6. Step 6: Final answer
    x = 4,697.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.