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Finding the Fourth Proportional to 13,896.90, 19,182.17 and 8,231.30

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Solution

The fourth proportional to 13,896.90, 19,182.17 and 8,231.30 is: 11,361.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896.90 : 19,182.17 = 8,231.30 : x
  2. Step 2: Convert to fraction form
    13,896.90/19,182.17 = 8,231.30/x
  3. Step 3: Cross multiply
    13,896.90x = 19,182.17 × 8,231.30
  4. Step 4: Simplify right side
    13,896.90x = 157,894,195.92
  5. Step 5: Solve for x
    x = 157,894,195.92/13,896.90
  6. Step 6: Final answer
    x = 11,361.83

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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.