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Finding the Fourth Proportional to 13,489.40, 20,234.10 and 13,035.80

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Solution

The fourth proportional to 13,489.40, 20,234.10 and 13,035.80 is: 19,553.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489.40 : 20,234.10 = 13,035.80 : x
  2. Step 2: Convert to fraction form
    13,489.40/20,234.10 = 13,035.80/x
  3. Step 3: Cross multiply
    13,489.40x = 20,234.10 × 13,035.80
  4. Step 4: Simplify right side
    13,489.40x = 263,767,680.78
  5. Step 5: Solve for x
    x = 263,767,680.78/13,489.40
  6. Step 6: Final answer
    x = 19,553.70

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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.