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Finding the Fourth Proportional to 17,413.15, 26,110 and 5,725.39

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Solution

The fourth proportional to 17,413.15, 26,110 and 5,725.39 is: 8,584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,413.15 : 26,110 = 5,725.39 : x
  2. Step 2: Convert to fraction form
    17,413.15/26,110 = 5,725.39/x
  3. Step 3: Cross multiply
    17,413.15x = 26,110 × 5,725.39
  4. Step 4: Simplify right side
    17,413.15x = 149,489,932.90
  5. Step 5: Solve for x
    x = 149,489,932.90/17,413.15
  6. Step 6: Final answer
    x = 8,584.89

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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.