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Finding the Fourth Proportional to 22,045.82, 30,423.48 and 11,974.38

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Solution

The fourth proportional to 22,045.82, 30,423.48 and 11,974.38 is: 16,524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,045.82 : 30,423.48 = 11,974.38 : x
  2. Step 2: Convert to fraction form
    22,045.82/30,423.48 = 11,974.38/x
  3. Step 3: Cross multiply
    22,045.82x = 30,423.48 × 11,974.38
  4. Step 4: Simplify right side
    22,045.82x = 364,302,310.44
  5. Step 5: Solve for x
    x = 364,302,310.44/22,045.82
  6. Step 6: Final answer
    x = 16,524.78

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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.