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Finding the Fourth Proportional to 11,500.14, 17,249.67 and 3,180.09

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Solution

The fourth proportional to 11,500.14, 17,249.67 and 3,180.09 is: 4,769.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.14 : 17,249.67 = 3,180.09 : x
  2. Step 2: Convert to fraction form
    11,500.14/17,249.67 = 3,180.09/x
  3. Step 3: Cross multiply
    11,500.14x = 17,249.67 × 3,180.09
  4. Step 4: Simplify right side
    11,500.14x = 54,855,503.07
  5. Step 5: Solve for x
    x = 54,855,503.07/11,500.14
  6. Step 6: Final answer
    x = 4,769.99

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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.