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Finding the Fourth Proportional to 13,621.50, 20,432.25 and 5,413.50

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Solution

The fourth proportional to 13,621.50, 20,432.25 and 5,413.50 is: 8,120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,621.50 : 20,432.25 = 5,413.50 : x
  2. Step 2: Convert to fraction form
    13,621.50/20,432.25 = 5,413.50/x
  3. Step 3: Cross multiply
    13,621.50x = 20,432.25 × 5,413.50
  4. Step 4: Simplify right side
    13,621.50x = 110,609,985.38
  5. Step 5: Solve for x
    x = 110,609,985.38/13,621.50
  6. Step 6: Final answer
    x = 8,120.25

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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.