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Finding the Fourth Proportional to 20,512.62, 30,772.17 and 7,189.29

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Solution

The fourth proportional to 20,512.62, 30,772.17 and 7,189.29 is: 10,785.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.62 : 30,772.17 = 7,189.29 : x
  2. Step 2: Convert to fraction form
    20,512.62/30,772.17 = 7,189.29/x
  3. Step 3: Cross multiply
    20,512.62x = 30,772.17 × 7,189.29
  4. Step 4: Simplify right side
    20,512.62x = 221,230,054.06
  5. Step 5: Solve for x
    x = 221,230,054.06/20,512.62
  6. Step 6: Final answer
    x = 10,785.07

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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.