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Finding the Fourth Proportional to 13,738.30, 20,598.45 and 5,413.30

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Solution

The fourth proportional to 13,738.30, 20,598.45 and 5,413.30 is: 8,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.30 : 20,598.45 = 5,413.30 : x
  2. Step 2: Convert to fraction form
    13,738.30/20,598.45 = 5,413.30/x
  3. Step 3: Cross multiply
    13,738.30x = 20,598.45 × 5,413.30
  4. Step 4: Simplify right side
    13,738.30x = 111,505,589.39
  5. Step 5: Solve for x
    x = 111,505,589.39/13,738.30
  6. Step 6: Final answer
    x = 8,116.40

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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.