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Finding the Fourth Proportional to 20,121.85, 27,767.94 and 11,169.12

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Solution

The fourth proportional to 20,121.85, 27,767.94 and 11,169.12 is: 15,413.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,121.85 : 27,767.94 = 11,169.12 : x
  2. Step 2: Convert to fraction form
    20,121.85/27,767.94 = 11,169.12/x
  3. Step 3: Cross multiply
    20,121.85x = 27,767.94 × 11,169.12
  4. Step 4: Simplify right side
    20,121.85x = 310,143,454.01
  5. Step 5: Solve for x
    x = 310,143,454.01/20,121.85
  6. Step 6: Final answer
    x = 15,413.27

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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.