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Finding the Fourth Proportional to 13,489.20, 20,230.56 and 6,912

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Solution

The fourth proportional to 13,489.20, 20,230.56 and 6,912 is: 10,366.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489.20 : 20,230.56 = 6,912 : x
  2. Step 2: Convert to fraction form
    13,489.20/20,230.56 = 6,912/x
  3. Step 3: Cross multiply
    13,489.20x = 20,230.56 × 6,912
  4. Step 4: Simplify right side
    13,489.20x = 139,833,630.72
  5. Step 5: Solve for x
    x = 139,833,630.72/13,489.20
  6. Step 6: Final answer
    x = 10,366.34

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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.