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Finding the Fourth Proportional to 11,674.14, 17,408.39 and 11,568.84

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Solution

The fourth proportional to 11,674.14, 17,408.39 and 11,568.84 is: 17,251.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.14 : 17,408.39 = 11,568.84 : x
  2. Step 2: Convert to fraction form
    11,674.14/17,408.39 = 11,568.84/x
  3. Step 3: Cross multiply
    11,674.14x = 17,408.39 × 11,568.84
  4. Step 4: Simplify right side
    11,674.14x = 201,394,907.49
  5. Step 5: Solve for x
    x = 201,394,907.49/11,674.14
  6. Step 6: Final answer
    x = 17,251.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.