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Finding the Fourth Proportional to 20,413.18, 30,619.77 and 6,563.26

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Solution

The fourth proportional to 20,413.18, 30,619.77 and 6,563.26 is: 9,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.18 : 30,619.77 = 6,563.26 : x
  2. Step 2: Convert to fraction form
    20,413.18/30,619.77 = 6,563.26/x
  3. Step 3: Cross multiply
    20,413.18x = 30,619.77 × 6,563.26
  4. Step 4: Simplify right side
    20,413.18x = 200,965,511.65
  5. Step 5: Solve for x
    x = 200,965,511.65/20,413.18
  6. Step 6: Final answer
    x = 9,844.89

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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.