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Finding the Fourth Proportional to 26,413.29, 39,626.82 and 7,692.90

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Solution

The fourth proportional to 26,413.29, 39,626.82 and 7,692.90 is: 11,541.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,413.29 : 39,626.82 = 7,692.90 : x
  2. Step 2: Convert to fraction form
    26,413.29/39,626.82 = 7,692.90/x
  3. Step 3: Cross multiply
    26,413.29x = 39,626.82 × 7,692.90
  4. Step 4: Simplify right side
    26,413.29x = 304,845,163.58
  5. Step 5: Solve for x
    x = 304,845,163.58/26,413.29
  6. Step 6: Final answer
    x = 11,541.36

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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.