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Finding the Fourth Proportional to 12,431.67, 18,650.82 and 5,413.18

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Solution

The fourth proportional to 12,431.67, 18,650.82 and 5,413.18 is: 8,121.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.67 : 18,650.82 = 5,413.18 : x
  2. Step 2: Convert to fraction form
    12,431.67/18,650.82 = 5,413.18/x
  3. Step 3: Cross multiply
    12,431.67x = 18,650.82 × 5,413.18
  4. Step 4: Simplify right side
    12,431.67x = 100,960,245.81
  5. Step 5: Solve for x
    x = 100,960,245.81/12,431.67
  6. Step 6: Final answer
    x = 8,121.21

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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.