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Finding the Fourth Proportional to 13,405.82, 20,108.78 and 5,609.16

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Solution

The fourth proportional to 13,405.82, 20,108.78 and 5,609.16 is: 8,413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.82 : 20,108.78 = 5,609.16 : x
  2. Step 2: Convert to fraction form
    13,405.82/20,108.78 = 5,609.16/x
  3. Step 3: Cross multiply
    13,405.82x = 20,108.78 × 5,609.16
  4. Step 4: Simplify right side
    13,405.82x = 112,793,336.38
  5. Step 5: Solve for x
    x = 112,793,336.38/13,405.82
  6. Step 6: Final answer
    x = 8,413.76

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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.