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Finding the Fourth Proportional to 26,942.09, 40,413.63 and 7,220.48

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Solution

The fourth proportional to 26,942.09, 40,413.63 and 7,220.48 is: 10,830.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,942.09 : 40,413.63 = 7,220.48 : x
  2. Step 2: Convert to fraction form
    26,942.09/40,413.63 = 7,220.48/x
  3. Step 3: Cross multiply
    26,942.09x = 40,413.63 × 7,220.48
  4. Step 4: Simplify right side
    26,942.09x = 291,805,632.15
  5. Step 5: Solve for x
    x = 291,805,632.15/26,942.09
  6. Step 6: Final answer
    x = 10,830.85

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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.