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Finding the Fourth Proportional to 20,164.53, 27,825.46 and 11,211.49

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Solution

The fourth proportional to 20,164.53, 27,825.46 and 11,211.49 is: 15,470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.53 : 27,825.46 = 11,211.49 : x
  2. Step 2: Convert to fraction form
    20,164.53/27,825.46 = 11,211.49/x
  3. Step 3: Cross multiply
    20,164.53x = 27,825.46 × 11,211.49
  4. Step 4: Simplify right side
    20,164.53x = 311,964,866.54
  5. Step 5: Solve for x
    x = 311,964,866.54/20,164.53
  6. Step 6: Final answer
    x = 15,470.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.