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Finding the Fourth Proportional to 26,937.98, 40,413.09 and 8,219.69

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Solution

The fourth proportional to 26,937.98, 40,413.09 and 8,219.69 is: 12,331.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,937.98 : 40,413.09 = 8,219.69 : x
  2. Step 2: Convert to fraction form
    26,937.98/40,413.09 = 8,219.69/x
  3. Step 3: Cross multiply
    26,937.98x = 40,413.09 × 8,219.69
  4. Step 4: Simplify right side
    26,937.98x = 332,183,071.74
  5. Step 5: Solve for x
    x = 332,183,071.74/26,937.98
  6. Step 6: Final answer
    x = 12,331.40

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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.