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Finding the Fourth Proportional to 13,604.82, 20,413.50 and 6,211.54

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Solution

The fourth proportional to 13,604.82, 20,413.50 and 6,211.54 is: 9,320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,604.82 : 20,413.50 = 6,211.54 : x
  2. Step 2: Convert to fraction form
    13,604.82/20,413.50 = 6,211.54/x
  3. Step 3: Cross multiply
    13,604.82x = 20,413.50 × 6,211.54
  4. Step 4: Simplify right side
    13,604.82x = 126,799,271.79
  5. Step 5: Solve for x
    x = 126,799,271.79/13,604.82
  6. Step 6: Final answer
    x = 9,320.18

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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.