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Finding the Fourth Proportional to 20,224.16, 30,324.65 and 6,180.28

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Solution

The fourth proportional to 20,224.16, 30,324.65 and 6,180.28 is: 9,266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224.16 : 30,324.65 = 6,180.28 : x
  2. Step 2: Convert to fraction form
    20,224.16/30,324.65 = 6,180.28/x
  3. Step 3: Cross multiply
    20,224.16x = 30,324.65 × 6,180.28
  4. Step 4: Simplify right side
    20,224.16x = 187,414,721.19
  5. Step 5: Solve for x
    x = 187,414,721.19/20,224.16
  6. Step 6: Final answer
    x = 9,266.87

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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.