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Finding the Fourth Proportional to 20,454.27, 30,680.52 and 6,413.95

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Solution

The fourth proportional to 20,454.27, 30,680.52 and 6,413.95 is: 9,620.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,454.27 : 30,680.52 = 6,413.95 : x
  2. Step 2: Convert to fraction form
    20,454.27/30,680.52 = 6,413.95/x
  3. Step 3: Cross multiply
    20,454.27x = 30,680.52 × 6,413.95
  4. Step 4: Simplify right side
    20,454.27x = 196,783,321.25
  5. Step 5: Solve for x
    x = 196,783,321.25/20,454.27
  6. Step 6: Final answer
    x = 9,620.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.