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Finding the Fourth Proportional to 26,823.16, 40,189.26 and 16,413.16

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Solution

The fourth proportional to 26,823.16, 40,189.26 and 16,413.16 is: 24,591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,823.16 : 40,189.26 = 16,413.16 : x
  2. Step 2: Convert to fraction form
    26,823.16/40,189.26 = 16,413.16/x
  3. Step 3: Cross multiply
    26,823.16x = 40,189.26 × 16,413.16
  4. Step 4: Simplify right side
    26,823.16x = 659,632,754.66
  5. Step 5: Solve for x
    x = 659,632,754.66/26,823.16
  6. Step 6: Final answer
    x = 24,591.91

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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.