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Finding the Fourth Proportional to 13,806.28, 20,706.52 and 4,447.14

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Solution

The fourth proportional to 13,806.28, 20,706.52 and 4,447.14 is: 6,669.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.28 : 20,706.52 = 4,447.14 : x
  2. Step 2: Convert to fraction form
    13,806.28/20,706.52 = 4,447.14/x
  3. Step 3: Cross multiply
    13,806.28x = 20,706.52 × 4,447.14
  4. Step 4: Simplify right side
    13,806.28x = 92,084,793.35
  5. Step 5: Solve for x
    x = 92,084,793.35/13,806.28
  6. Step 6: Final answer
    x = 6,669.78

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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.