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Finding the Fourth Proportional to 13,761.75, 18,991.22 and 8,456.43

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Solution

The fourth proportional to 13,761.75, 18,991.22 and 8,456.43 is: 11,669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.75 : 18,991.22 = 8,456.43 : x
  2. Step 2: Convert to fraction form
    13,761.75/18,991.22 = 8,456.43/x
  3. Step 3: Cross multiply
    13,761.75x = 18,991.22 × 8,456.43
  4. Step 4: Simplify right side
    13,761.75x = 160,597,880.26
  5. Step 5: Solve for x
    x = 160,597,880.26/13,761.75
  6. Step 6: Final answer
    x = 11,669.87

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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.