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Finding the Fourth Proportional to 20,121.90, 27,769.86 and 11,171.22

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Solution

The fourth proportional to 20,121.90, 27,769.86 and 11,171.22 is: 15,417.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,121.90 : 27,769.86 = 11,171.22 : x
  2. Step 2: Convert to fraction form
    20,121.90/27,769.86 = 11,171.22/x
  3. Step 3: Cross multiply
    20,121.90x = 27,769.86 × 11,171.22
  4. Step 4: Simplify right side
    20,121.90x = 310,223,215.43
  5. Step 5: Solve for x
    x = 310,223,215.43/20,121.90
  6. Step 6: Final answer
    x = 15,417.19

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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.