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Finding the Fourth Proportional to 13,876.74, 20,813.37 and 8,180.97

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Solution

The fourth proportional to 13,876.74, 20,813.37 and 8,180.97 is: 12,270.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.74 : 20,813.37 = 8,180.97 : x
  2. Step 2: Convert to fraction form
    13,876.74/20,813.37 = 8,180.97/x
  3. Step 3: Cross multiply
    13,876.74x = 20,813.37 × 8,180.97
  4. Step 4: Simplify right side
    13,876.74x = 170,273,555.57
  5. Step 5: Solve for x
    x = 170,273,555.57/13,876.74
  6. Step 6: Final answer
    x = 12,270.43

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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.