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Finding the Fourth Proportional to 16,287, 24,416.02 and 5,896.44

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Solution

The fourth proportional to 16,287, 24,416.02 and 5,896.44 is: 8,839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287 : 24,416.02 = 5,896.44 : x
  2. Step 2: Convert to fraction form
    16,287/24,416.02 = 5,896.44/x
  3. Step 3: Cross multiply
    16,287x = 24,416.02 × 5,896.44
  4. Step 4: Simplify right side
    16,287x = 143,967,596.97
  5. Step 5: Solve for x
    x = 143,967,596.97/16,287
  6. Step 6: Final answer
    x = 8,839.42

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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.