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Finding the Fourth Proportional to 24,382.38, 33,647.73 and 13,204.38

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Solution

The fourth proportional to 24,382.38, 33,647.73 and 13,204.38 is: 18,222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,382.38 : 33,647.73 = 13,204.38 : x
  2. Step 2: Convert to fraction form
    24,382.38/33,647.73 = 13,204.38/x
  3. Step 3: Cross multiply
    24,382.38x = 33,647.73 × 13,204.38
  4. Step 4: Simplify right side
    24,382.38x = 444,297,413.06
  5. Step 5: Solve for x
    x = 444,297,413.06/24,382.38
  6. Step 6: Final answer
    x = 18,222.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.