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Finding the Fourth Proportional to 13,413.80, 20,103.90 and 6,842.60

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Solution

The fourth proportional to 13,413.80, 20,103.90 and 6,842.60 is: 10,255.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.80 : 20,103.90 = 6,842.60 : x
  2. Step 2: Convert to fraction form
    13,413.80/20,103.90 = 6,842.60/x
  3. Step 3: Cross multiply
    13,413.80x = 20,103.90 × 6,842.60
  4. Step 4: Simplify right side
    13,413.80x = 137,562,946.14
  5. Step 5: Solve for x
    x = 137,562,946.14/13,413.80
  6. Step 6: Final answer
    x = 10,255.33

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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.