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Finding the Fourth Proportional to 20,162.60, 30,248.43 and 6,834.84

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Solution

The fourth proportional to 20,162.60, 30,248.43 and 6,834.84 is: 10,253.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,162.60 : 30,248.43 = 6,834.84 : x
  2. Step 2: Convert to fraction form
    20,162.60/30,248.43 = 6,834.84/x
  3. Step 3: Cross multiply
    20,162.60x = 30,248.43 × 6,834.84
  4. Step 4: Simplify right side
    20,162.60x = 206,743,179.30
  5. Step 5: Solve for x
    x = 206,743,179.30/20,162.60
  6. Step 6: Final answer
    x = 10,253.80

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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.