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Finding the Fourth Proportional to 24,425.20, 33,704.94 and 16,478.20

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Solution

The fourth proportional to 24,425.20, 33,704.94 and 16,478.20 is: 22,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,425.20 : 33,704.94 = 16,478.20 : x
  2. Step 2: Convert to fraction form
    24,425.20/33,704.94 = 16,478.20/x
  3. Step 3: Cross multiply
    24,425.20x = 33,704.94 × 16,478.20
  4. Step 4: Simplify right side
    24,425.20x = 555,396,742.31
  5. Step 5: Solve for x
    x = 555,396,742.31/24,425.20
  6. Step 6: Final answer
    x = 22,738.68

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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.