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Finding the Fourth Proportional to 20,164.75, 27,825.76 and 11,211.70

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Solution

The fourth proportional to 20,164.75, 27,825.76 and 11,211.70 is: 15,471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.75 : 27,825.76 = 11,211.70 : x
  2. Step 2: Convert to fraction form
    20,164.75/27,825.76 = 11,211.70/x
  3. Step 3: Cross multiply
    20,164.75x = 27,825.76 × 11,211.70
  4. Step 4: Simplify right side
    20,164.75x = 311,974,073.39
  5. Step 5: Solve for x
    x = 311,974,073.39/20,164.75
  6. Step 6: Final answer
    x = 15,471.26

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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.