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Finding the Fourth Proportional to 20,161.21, 30,241.72 and 7,678.30

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Solution

The fourth proportional to 20,161.21, 30,241.72 and 7,678.30 is: 11,517.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,161.21 : 30,241.72 = 7,678.30 : x
  2. Step 2: Convert to fraction form
    20,161.21/30,241.72 = 7,678.30/x
  3. Step 3: Cross multiply
    20,161.21x = 30,241.72 × 7,678.30
  4. Step 4: Simplify right side
    20,161.21x = 232,204,998.68
  5. Step 5: Solve for x
    x = 232,204,998.68/20,161.21
  6. Step 6: Final answer
    x = 11,517.41

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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.