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Finding the Fourth Proportional to 26,413.78, 39,627.57 and 7,693.41

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Solution

The fourth proportional to 26,413.78, 39,627.57 and 7,693.41 is: 11,542.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,413.78 : 39,627.57 = 7,693.41 : x
  2. Step 2: Convert to fraction form
    26,413.78/39,627.57 = 7,693.41/x
  3. Step 3: Cross multiply
    26,413.78x = 39,627.57 × 7,693.41
  4. Step 4: Simplify right side
    26,413.78x = 304,871,143.31
  5. Step 5: Solve for x
    x = 304,871,143.31/26,413.78
  6. Step 6: Final answer
    x = 11,542.12

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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.