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Finding the Fourth Proportional to 12,180.86, 18,269.22 and 3,413.75

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Solution

The fourth proportional to 12,180.86, 18,269.22 and 3,413.75 is: 5,120.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.86 : 18,269.22 = 3,413.75 : x
  2. Step 2: Convert to fraction form
    12,180.86/18,269.22 = 3,413.75/x
  3. Step 3: Cross multiply
    12,180.86x = 18,269.22 × 3,413.75
  4. Step 4: Simplify right side
    12,180.86x = 62,366,549.78
  5. Step 5: Solve for x
    x = 62,366,549.78/12,180.86
  6. Step 6: Final answer
    x = 5,120.04

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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.