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Finding the Fourth Proportional to 11,105.80, 16,658.70 and 10,198.60

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Solution

The fourth proportional to 11,105.80, 16,658.70 and 10,198.60 is: 15,297.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.80 : 16,658.70 = 10,198.60 : x
  2. Step 2: Convert to fraction form
    11,105.80/16,658.70 = 10,198.60/x
  3. Step 3: Cross multiply
    11,105.80x = 16,658.70 × 10,198.60
  4. Step 4: Simplify right side
    11,105.80x = 169,895,417.82
  5. Step 5: Solve for x
    x = 169,895,417.82/11,105.80
  6. Step 6: Final answer
    x = 15,297.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.