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Finding the Fourth Proportional to 20,413.92, 28,170.97 and 11,461.20

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Solution

The fourth proportional to 20,413.92, 28,170.97 and 11,461.20 is: 15,816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.92 : 28,170.97 = 11,461.20 : x
  2. Step 2: Convert to fraction form
    20,413.92/28,170.97 = 11,461.20/x
  3. Step 3: Cross multiply
    20,413.92x = 28,170.97 × 11,461.20
  4. Step 4: Simplify right side
    20,413.92x = 322,873,121.36
  5. Step 5: Solve for x
    x = 322,873,121.36/20,413.92
  6. Step 6: Final answer
    x = 15,816.32

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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.