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Finding the Fourth Proportional to 16,198.76, 24,287.74 and 6,836.22

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Solution

The fourth proportional to 16,198.76, 24,287.74 and 6,836.22 is: 10,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.76 : 24,287.74 = 6,836.22 : x
  2. Step 2: Convert to fraction form
    16,198.76/24,287.74 = 6,836.22/x
  3. Step 3: Cross multiply
    16,198.76x = 24,287.74 × 6,836.22
  4. Step 4: Simplify right side
    16,198.76x = 166,036,333.94
  5. Step 5: Solve for x
    x = 166,036,333.94/16,198.76
  6. Step 6: Final answer
    x = 10,249.94

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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.