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Finding the Fourth Proportional to 20,122.14, 27,767.25 and 11,169.65

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Solution

The fourth proportional to 20,122.14, 27,767.25 and 11,169.65 is: 15,413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,122.14 : 27,767.25 = 11,169.65 : x
  2. Step 2: Convert to fraction form
    20,122.14/27,767.25 = 11,169.65/x
  3. Step 3: Cross multiply
    20,122.14x = 27,767.25 × 11,169.65
  4. Step 4: Simplify right side
    20,122.14x = 310,150,325.13
  5. Step 5: Solve for x
    x = 310,150,325.13/20,122.14
  6. Step 6: Final answer
    x = 15,413.39

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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.