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Finding the Fourth Proportional to 12,198.36, 16,816.50 and 8,660.28

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Solution

The fourth proportional to 12,198.36, 16,816.50 and 8,660.28 is: 11,938.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.36 : 16,816.50 = 8,660.28 : x
  2. Step 2: Convert to fraction form
    12,198.36/16,816.50 = 8,660.28/x
  3. Step 3: Cross multiply
    12,198.36x = 16,816.50 × 8,660.28
  4. Step 4: Simplify right side
    12,198.36x = 145,635,598.62
  5. Step 5: Solve for x
    x = 145,635,598.62/12,198.36
  6. Step 6: Final answer
    x = 11,938.95

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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.