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Finding the Fourth Proportional to 20,494.20, 30,755.70 and 8,815.80

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Solution

The fourth proportional to 20,494.20, 30,755.70 and 8,815.80 is: 13,229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,494.20 : 30,755.70 = 8,815.80 : x
  2. Step 2: Convert to fraction form
    20,494.20/30,755.70 = 8,815.80/x
  3. Step 3: Cross multiply
    20,494.20x = 30,755.70 × 8,815.80
  4. Step 4: Simplify right side
    20,494.20x = 271,136,100.06
  5. Step 5: Solve for x
    x = 271,136,100.06/20,494.20
  6. Step 6: Final answer
    x = 13,229.89

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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.