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Finding the Fourth Proportional to 13,822.98, 20,731.22 and 9,439.26

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Solution

The fourth proportional to 13,822.98, 20,731.22 and 9,439.26 is: 14,156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.98 : 20,731.22 = 9,439.26 : x
  2. Step 2: Convert to fraction form
    13,822.98/20,731.22 = 9,439.26/x
  3. Step 3: Cross multiply
    13,822.98x = 20,731.22 × 9,439.26
  4. Step 4: Simplify right side
    13,822.98x = 195,687,375.70
  5. Step 5: Solve for x
    x = 195,687,375.70/13,822.98
  6. Step 6: Final answer
    x = 14,156.67

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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.