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Finding the Fourth Proportional to 20,413.27, 28,168.13 and 11,461.75

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Solution

The fourth proportional to 20,413.27, 28,168.13 and 11,461.75 is: 15,815.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.27 : 28,168.13 = 11,461.75 : x
  2. Step 2: Convert to fraction form
    20,413.27/28,168.13 = 11,461.75/x
  3. Step 3: Cross multiply
    20,413.27x = 28,168.13 × 11,461.75
  4. Step 4: Simplify right side
    20,413.27x = 322,856,006.72
  5. Step 5: Solve for x
    x = 322,856,006.72/20,413.27
  6. Step 6: Final answer
    x = 15,815.99

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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.