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Finding the Fourth Proportional to 16,413.20, 24,562.20 and 11,229.20

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Solution

The fourth proportional to 16,413.20, 24,562.20 and 11,229.20 is: 16,804.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413.20 : 24,562.20 = 11,229.20 : x
  2. Step 2: Convert to fraction form
    16,413.20/24,562.20 = 11,229.20/x
  3. Step 3: Cross multiply
    16,413.20x = 24,562.20 × 11,229.20
  4. Step 4: Simplify right side
    16,413.20x = 275,813,856.24
  5. Step 5: Solve for x
    x = 275,813,856.24/16,413.20
  6. Step 6: Final answer
    x = 16,804.39

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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.