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Finding the Fourth Proportional to 20,452.01, 30,677.94 and 6,413.09

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Solution

The fourth proportional to 20,452.01, 30,677.94 and 6,413.09 is: 9,619.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,452.01 : 30,677.94 = 6,413.09 : x
  2. Step 2: Convert to fraction form
    20,452.01/30,677.94 = 6,413.09/x
  3. Step 3: Cross multiply
    20,452.01x = 30,677.94 × 6,413.09
  4. Step 4: Simplify right side
    20,452.01x = 196,740,390.23
  5. Step 5: Solve for x
    x = 196,740,390.23/20,452.01
  6. Step 6: Final answer
    x = 9,619.61

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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.