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Finding the Fourth Proportional to 20,227.60, 30,341.40 and 13,229.20

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Solution

The fourth proportional to 20,227.60, 30,341.40 and 13,229.20 is: 19,843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,227.60 : 30,341.40 = 13,229.20 : x
  2. Step 2: Convert to fraction form
    20,227.60/30,341.40 = 13,229.20/x
  3. Step 3: Cross multiply
    20,227.60x = 30,341.40 × 13,229.20
  4. Step 4: Simplify right side
    20,227.60x = 401,392,448.88
  5. Step 5: Solve for x
    x = 401,392,448.88/20,227.60
  6. Step 6: Final answer
    x = 19,843.80

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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.