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Finding the Fourth Proportional to 20,512.67, 30,826.71 and 12,194.17

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Solution

The fourth proportional to 20,512.67, 30,826.71 and 12,194.17 is: 18,325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.67 : 30,826.71 = 12,194.17 : x
  2. Step 2: Convert to fraction form
    20,512.67/30,826.71 = 12,194.17/x
  3. Step 3: Cross multiply
    20,512.67x = 30,826.71 × 12,194.17
  4. Step 4: Simplify right side
    20,512.67x = 375,906,065.21
  5. Step 5: Solve for x
    x = 375,906,065.21/20,512.67
  6. Step 6: Final answer
    x = 18,325.56

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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.