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Finding the Fourth Proportional to 20,220.39, 30,343.14 and 7,741.44

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Solution

The fourth proportional to 20,220.39, 30,343.14 and 7,741.44 is: 11,616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,220.39 : 30,343.14 = 7,741.44 : x
  2. Step 2: Convert to fraction form
    20,220.39/30,343.14 = 7,741.44/x
  3. Step 3: Cross multiply
    20,220.39x = 30,343.14 × 7,741.44
  4. Step 4: Simplify right side
    20,220.39x = 234,899,597.72
  5. Step 5: Solve for x
    x = 234,899,597.72/20,220.39
  6. Step 6: Final answer
    x = 11,616.97

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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.