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Finding the Fourth Proportional to 17,641.48, 26,449.26 and 8,413.96

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Solution

The fourth proportional to 17,641.48, 26,449.26 and 8,413.96 is: 12,614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.48 : 26,449.26 = 8,413.96 : x
  2. Step 2: Convert to fraction form
    17,641.48/26,449.26 = 8,413.96/x
  3. Step 3: Cross multiply
    17,641.48x = 26,449.26 × 8,413.96
  4. Step 4: Simplify right side
    17,641.48x = 222,543,015.67
  5. Step 5: Solve for x
    x = 222,543,015.67/17,641.48
  6. Step 6: Final answer
    x = 12,614.76

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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.