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Finding the Fourth Proportional to 20,077.67, 30,170.97 and 10,724.19

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Solution

The fourth proportional to 20,077.67, 30,170.97 and 10,724.19 is: 16,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,077.67 : 30,170.97 = 10,724.19 : x
  2. Step 2: Convert to fraction form
    20,077.67/30,170.97 = 10,724.19/x
  3. Step 3: Cross multiply
    20,077.67x = 30,170.97 × 10,724.19
  4. Step 4: Simplify right side
    20,077.67x = 323,559,214.76
  5. Step 5: Solve for x
    x = 323,559,214.76/20,077.67
  6. Step 6: Final answer
    x = 16,115.38

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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.