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Finding the Fourth Proportional to 13,609.20, 20,413.80 and 12,078.30

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Solution

The fourth proportional to 13,609.20, 20,413.80 and 12,078.30 is: 18,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.20 : 20,413.80 = 12,078.30 : x
  2. Step 2: Convert to fraction form
    13,609.20/20,413.80 = 12,078.30/x
  3. Step 3: Cross multiply
    13,609.20x = 20,413.80 × 12,078.30
  4. Step 4: Simplify right side
    13,609.20x = 246,564,000.54
  5. Step 5: Solve for x
    x = 246,564,000.54/13,609.20
  6. Step 6: Final answer
    x = 18,117.45

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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.