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Finding the Fourth Proportional to 20,163.40, 30,212.70 and 13,229.80

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Solution

The fourth proportional to 20,163.40, 30,212.70 and 13,229.80 is: 19,823.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163.40 : 30,212.70 = 13,229.80 : x
  2. Step 2: Convert to fraction form
    20,163.40/30,212.70 = 13,229.80/x
  3. Step 3: Cross multiply
    20,163.40x = 30,212.70 × 13,229.80
  4. Step 4: Simplify right side
    20,163.40x = 399,707,978.46
  5. Step 5: Solve for x
    x = 399,707,978.46/20,163.40
  6. Step 6: Final answer
    x = 19,823.44

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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.