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Finding the Fourth Proportional to 13,876.75, 20,818.22 and 4,016.78

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Solution

The fourth proportional to 13,876.75, 20,818.22 and 4,016.78 is: 6,026.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.75 : 20,818.22 = 4,016.78 : x
  2. Step 2: Convert to fraction form
    13,876.75/20,818.22 = 4,016.78/x
  3. Step 3: Cross multiply
    13,876.75x = 20,818.22 × 4,016.78
  4. Step 4: Simplify right side
    13,876.75x = 83,622,209.73
  5. Step 5: Solve for x
    x = 83,622,209.73/13,876.75
  6. Step 6: Final answer
    x = 6,026.07

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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.