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Finding the Fourth Proportional to 20,164.56, 27,825.78 and 11,211.73

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Solution

The fourth proportional to 20,164.56, 27,825.78 and 11,211.73 is: 15,471.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.56 : 27,825.78 = 11,211.73 : x
  2. Step 2: Convert to fraction form
    20,164.56/27,825.78 = 11,211.73/x
  3. Step 3: Cross multiply
    20,164.56x = 27,825.78 × 11,211.73
  4. Step 4: Simplify right side
    20,164.56x = 311,975,132.40
  5. Step 5: Solve for x
    x = 311,975,132.40/20,164.56
  6. Step 6: Final answer
    x = 15,471.46

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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.