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Finding the Fourth Proportional to 26,952.57, 40,413.17 and 10,313.75

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Solution

The fourth proportional to 26,952.57, 40,413.17 and 10,313.75 is: 15,464.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,952.57 : 40,413.17 = 10,313.75 : x
  2. Step 2: Convert to fraction form
    26,952.57/40,413.17 = 10,313.75/x
  3. Step 3: Cross multiply
    26,952.57x = 40,413.17 × 10,313.75
  4. Step 4: Simplify right side
    26,952.57x = 416,811,078.45
  5. Step 5: Solve for x
    x = 416,811,078.45/26,952.57
  6. Step 6: Final answer
    x = 15,464.61

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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.