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Finding the Fourth Proportional to 20,211.60, 30,317.40 and 13,213.20

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Solution

The fourth proportional to 20,211.60, 30,317.40 and 13,213.20 is: 19,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,211.60 : 30,317.40 = 13,213.20 : x
  2. Step 2: Convert to fraction form
    20,211.60/30,317.40 = 13,213.20/x
  3. Step 3: Cross multiply
    20,211.60x = 30,317.40 × 13,213.20
  4. Step 4: Simplify right side
    20,211.60x = 400,589,869.68
  5. Step 5: Solve for x
    x = 400,589,869.68/20,211.60
  6. Step 6: Final answer
    x = 19,819.80

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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.