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Finding the Fourth Proportional to 16,198.64, 24,287.56 and 6,836.10

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Solution

The fourth proportional to 16,198.64, 24,287.56 and 6,836.10 is: 10,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.64 : 24,287.56 = 6,836.10 : x
  2. Step 2: Convert to fraction form
    16,198.64/24,287.56 = 6,836.10/x
  3. Step 3: Cross multiply
    16,198.64x = 24,287.56 × 6,836.10
  4. Step 4: Simplify right side
    16,198.64x = 166,032,188.92
  5. Step 5: Solve for x
    x = 166,032,188.92/16,198.64
  6. Step 6: Final answer
    x = 10,249.76

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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.