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Finding the Fourth Proportional to 24,466.33, 36,691.41 and 9,466.49

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Solution

The fourth proportional to 24,466.33, 36,691.41 and 9,466.49 is: 14,196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,466.33 : 36,691.41 = 9,466.49 : x
  2. Step 2: Convert to fraction form
    24,466.33/36,691.41 = 9,466.49/x
  3. Step 3: Cross multiply
    24,466.33x = 36,691.41 × 9,466.49
  4. Step 4: Simplify right side
    24,466.33x = 347,338,865.85
  5. Step 5: Solve for x
    x = 347,338,865.85/24,466.33
  6. Step 6: Final answer
    x = 14,196.61

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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.