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Finding the Fourth Proportional to 20,120.82, 27,767.03 and 11,168.88

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Solution

The fourth proportional to 20,120.82, 27,767.03 and 11,168.88 is: 15,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,120.82 : 27,767.03 = 11,168.88 : x
  2. Step 2: Convert to fraction form
    20,120.82/27,767.03 = 11,168.88/x
  3. Step 3: Cross multiply
    20,120.82x = 27,767.03 × 11,168.88
  4. Step 4: Simplify right side
    20,120.82x = 310,126,570.18
  5. Step 5: Solve for x
    x = 310,126,570.18/20,120.82
  6. Step 6: Final answer
    x = 15,413.22

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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.