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Finding the Fourth Proportional to 20,121.42, 27,768 and 11,168.79

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Solution

The fourth proportional to 20,121.42, 27,768 and 11,168.79 is: 15,413.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,121.42 : 27,768 = 11,168.79 : x
  2. Step 2: Convert to fraction form
    20,121.42/27,768 = 11,168.79/x
  3. Step 3: Cross multiply
    20,121.42x = 27,768 × 11,168.79
  4. Step 4: Simplify right side
    20,121.42x = 310,134,960.72
  5. Step 5: Solve for x
    x = 310,134,960.72/20,121.42
  6. Step 6: Final answer
    x = 15,413.17

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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.