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Finding the Fourth Proportional to 20,161.46, 30,223.30 and 6,825.12

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Solution

The fourth proportional to 20,161.46, 30,223.30 and 6,825.12 is: 10,231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,161.46 : 30,223.30 = 6,825.12 : x
  2. Step 2: Convert to fraction form
    20,161.46/30,223.30 = 6,825.12/x
  3. Step 3: Cross multiply
    20,161.46x = 30,223.30 × 6,825.12
  4. Step 4: Simplify right side
    20,161.46x = 206,277,649.30
  5. Step 5: Solve for x
    x = 206,277,649.30/20,161.46
  6. Step 6: Final answer
    x = 10,231.29

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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.