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Finding the Fourth Proportional to 20,163.20, 30,201.60 and 13,164.80

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Solution

The fourth proportional to 20,163.20, 30,201.60 and 13,164.80 is: 19,718.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163.20 : 30,201.60 = 13,164.80 : x
  2. Step 2: Convert to fraction form
    20,163.20/30,201.60 = 13,164.80/x
  3. Step 3: Cross multiply
    20,163.20x = 30,201.60 × 13,164.80
  4. Step 4: Simplify right side
    20,163.20x = 397,598,023.68
  5. Step 5: Solve for x
    x = 397,598,023.68/20,163.20
  6. Step 6: Final answer
    x = 19,718.99

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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.