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Finding the Fourth Proportional to 17,097.96, 25,649.64 and 5,413.92

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Solution

The fourth proportional to 17,097.96, 25,649.64 and 5,413.92 is: 8,121.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.96 : 25,649.64 = 5,413.92 : x
  2. Step 2: Convert to fraction form
    17,097.96/25,649.64 = 5,413.92/x
  3. Step 3: Cross multiply
    17,097.96x = 25,649.64 × 5,413.92
  4. Step 4: Simplify right side
    17,097.96x = 138,865,098.99
  5. Step 5: Solve for x
    x = 138,865,098.99/17,097.96
  6. Step 6: Final answer
    x = 8,121.73

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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.