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Finding the Fourth Proportional to 20,164.22, 27,825.53 and 11,211.09

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Solution

The fourth proportional to 20,164.22, 27,825.53 and 11,211.09 is: 15,470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.22 : 27,825.53 = 11,211.09 : x
  2. Step 2: Convert to fraction form
    20,164.22/27,825.53 = 11,211.09/x
  3. Step 3: Cross multiply
    20,164.22x = 27,825.53 × 11,211.09
  4. Step 4: Simplify right side
    20,164.22x = 311,954,360.73
  5. Step 5: Solve for x
    x = 311,954,360.73/20,164.22
  6. Step 6: Final answer
    x = 15,470.69

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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.