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Finding the Fourth Proportional to 20,121.93, 27,767.88 and 11,169.54

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Solution

The fourth proportional to 20,121.93, 27,767.88 and 11,169.54 is: 15,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,121.93 : 27,767.88 = 11,169.54 : x
  2. Step 2: Convert to fraction form
    20,121.93/27,767.88 = 11,169.54/x
  3. Step 3: Cross multiply
    20,121.93x = 27,767.88 × 11,169.54
  4. Step 4: Simplify right side
    20,121.93x = 310,154,446.38
  5. Step 5: Solve for x
    x = 310,154,446.38/20,121.93
  6. Step 6: Final answer
    x = 15,413.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.