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Finding the Fourth Proportional to 24,433.24, 33,735 and 21,578.80

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Solution

The fourth proportional to 24,433.24, 33,735 and 21,578.80 is: 29,793.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,433.24 : 33,735 = 21,578.80 : x
  2. Step 2: Convert to fraction form
    24,433.24/33,735 = 21,578.80/x
  3. Step 3: Cross multiply
    24,433.24x = 33,735 × 21,578.80
  4. Step 4: Simplify right side
    24,433.24x = 727,960,818
  5. Step 5: Solve for x
    x = 727,960,818/24,433.24
  6. Step 6: Final answer
    x = 29,793.87

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