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Finding the Fourth Proportional to 20,809.60, 31,149.60 and 20,161.60

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Solution

The fourth proportional to 20,809.60, 31,149.60 and 20,161.60 is: 30,179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.60 : 31,149.60 = 20,161.60 : x
  2. Step 2: Convert to fraction form
    20,809.60/31,149.60 = 20,161.60/x
  3. Step 3: Cross multiply
    20,809.60x = 31,149.60 × 20,161.60
  4. Step 4: Simplify right side
    20,809.60x = 628,025,775.36
  5. Step 5: Solve for x
    x = 628,025,775.36/20,809.60
  6. Step 6: Final answer
    x = 30,179.62

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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.