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Finding the Fourth Proportional to 20,413.36, 30,620.04 and 13,486.24

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Solution

The fourth proportional to 20,413.36, 30,620.04 and 13,486.24 is: 20,229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.36 : 30,620.04 = 13,486.24 : x
  2. Step 2: Convert to fraction form
    20,413.36/30,620.04 = 13,486.24/x
  3. Step 3: Cross multiply
    20,413.36x = 30,620.04 × 13,486.24
  4. Step 4: Simplify right side
    20,413.36x = 412,949,208.25
  5. Step 5: Solve for x
    x = 412,949,208.25/20,413.36
  6. Step 6: Final answer
    x = 20,229.36

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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.