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Finding the Fourth Proportional to 24,431.39, 33,685.76 and 20,647.88

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Solution

The fourth proportional to 24,431.39, 33,685.76 and 20,647.88 is: 28,469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,431.39 : 33,685.76 = 20,647.88 : x
  2. Step 2: Convert to fraction form
    24,431.39/33,685.76 = 20,647.88/x
  3. Step 3: Cross multiply
    24,431.39x = 33,685.76 × 20,647.88
  4. Step 4: Simplify right side
    24,431.39x = 695,539,413.38
  5. Step 5: Solve for x
    x = 695,539,413.38/24,431.39
  6. Step 6: Final answer
    x = 28,469.09

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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.