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Finding the Fourth Proportional to 26,413.67, 39,628.98 and 7,694.84

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Solution

The fourth proportional to 26,413.67, 39,628.98 and 7,694.84 is: 11,544.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,413.67 : 39,628.98 = 7,694.84 : x
  2. Step 2: Convert to fraction form
    26,413.67/39,628.98 = 7,694.84/x
  3. Step 3: Cross multiply
    26,413.67x = 39,628.98 × 7,694.84
  4. Step 4: Simplify right side
    26,413.67x = 304,938,660.46
  5. Step 5: Solve for x
    x = 304,938,660.46/26,413.67
  6. Step 6: Final answer
    x = 11,544.73

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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.