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Finding the Fourth Proportional to 13,608.50, 20,413.46 and 3,747.56

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Solution

The fourth proportional to 13,608.50, 20,413.46 and 3,747.56 is: 5,621.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,608.50 : 20,413.46 = 3,747.56 : x
  2. Step 2: Convert to fraction form
    13,608.50/20,413.46 = 3,747.56/x
  3. Step 3: Cross multiply
    13,608.50x = 20,413.46 × 3,747.56
  4. Step 4: Simplify right side
    13,608.50x = 76,500,666.16
  5. Step 5: Solve for x
    x = 76,500,666.16/13,608.50
  6. Step 6: Final answer
    x = 5,621.54

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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.