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Finding the Fourth Proportional to 13,413.23, 20,119.50 and 6,398.20

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Solution

The fourth proportional to 13,413.23, 20,119.50 and 6,398.20 is: 9,597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.23 : 20,119.50 = 6,398.20 : x
  2. Step 2: Convert to fraction form
    13,413.23/20,119.50 = 6,398.20/x
  3. Step 3: Cross multiply
    13,413.23x = 20,119.50 × 6,398.20
  4. Step 4: Simplify right side
    13,413.23x = 128,728,584.90
  5. Step 5: Solve for x
    x = 128,728,584.90/13,413.23
  6. Step 6: Final answer
    x = 9,597.14

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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.