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Finding the Fourth Proportional to 27,413.87, 41,107.82 and 12,618.41

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Solution

The fourth proportional to 27,413.87, 41,107.82 and 12,618.41 is: 18,921.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,413.87 : 41,107.82 = 12,618.41 : x
  2. Step 2: Convert to fraction form
    27,413.87/41,107.82 = 12,618.41/x
  3. Step 3: Cross multiply
    27,413.87x = 41,107.82 × 12,618.41
  4. Step 4: Simplify right side
    27,413.87x = 518,715,058.34
  5. Step 5: Solve for x
    x = 518,715,058.34/27,413.87
  6. Step 6: Final answer
    x = 18,921.63

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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.