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Finding the Fourth Proportional to 12,413.49, 18,589.86 and 8,017.62

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Solution

The fourth proportional to 12,413.49, 18,589.86 and 8,017.62 is: 12,006.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.49 : 18,589.86 = 8,017.62 : x
  2. Step 2: Convert to fraction form
    12,413.49/18,589.86 = 8,017.62/x
  3. Step 3: Cross multiply
    12,413.49x = 18,589.86 × 8,017.62
  4. Step 4: Simplify right side
    12,413.49x = 149,046,433.33
  5. Step 5: Solve for x
    x = 149,046,433.33/12,413.49
  6. Step 6: Final answer
    x = 12,006.81

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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.