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Finding the Fourth Proportional to 13,772.20, 20,659.30 and 3,912.26

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Solution

The fourth proportional to 13,772.20, 20,659.30 and 3,912.26 is: 5,868.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.20 : 20,659.30 = 3,912.26 : x
  2. Step 2: Convert to fraction form
    13,772.20/20,659.30 = 3,912.26/x
  3. Step 3: Cross multiply
    13,772.20x = 20,659.30 × 3,912.26
  4. Step 4: Simplify right side
    13,772.20x = 80,824,553.02
  5. Step 5: Solve for x
    x = 80,824,553.02/13,772.20
  6. Step 6: Final answer
    x = 5,868.67

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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.