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Finding the Fourth Proportional to 22,310.62, 33,474.69 and 9,821.88

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Solution

The fourth proportional to 22,310.62, 33,474.69 and 9,821.88 is: 14,736.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,310.62 : 33,474.69 = 9,821.88 : x
  2. Step 2: Convert to fraction form
    22,310.62/33,474.69 = 9,821.88/x
  3. Step 3: Cross multiply
    22,310.62x = 33,474.69 × 9,821.88
  4. Step 4: Simplify right side
    22,310.62x = 328,784,408.30
  5. Step 5: Solve for x
    x = 328,784,408.30/22,310.62
  6. Step 6: Final answer
    x = 14,736.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.