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Finding the Fourth Proportional to 20,122.67, 27,768.04 and 11,169.64

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Solution

The fourth proportional to 20,122.67, 27,768.04 and 11,169.64 is: 15,413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,122.67 : 27,768.04 = 11,169.64 : x
  2. Step 2: Convert to fraction form
    20,122.67/27,768.04 = 11,169.64/x
  3. Step 3: Cross multiply
    20,122.67x = 27,768.04 × 11,169.64
  4. Step 4: Simplify right side
    20,122.67x = 310,158,912.96
  5. Step 5: Solve for x
    x = 310,158,912.96/20,122.67
  6. Step 6: Final answer
    x = 15,413.41

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1.5x scale

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.