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Finding the Fourth Proportional to 28,286.82, 42,414 and 11,658.33

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Solution

The fourth proportional to 28,286.82, 42,414 and 11,658.33 is: 17,480.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,286.82 : 42,414 = 11,658.33 : x
  2. Step 2: Convert to fraction form
    28,286.82/42,414 = 11,658.33/x
  3. Step 3: Cross multiply
    28,286.82x = 42,414 × 11,658.33
  4. Step 4: Simplify right side
    28,286.82x = 494,476,408.62
  5. Step 5: Solve for x
    x = 494,476,408.62/28,286.82
  6. Step 6: Final answer
    x = 17,480.81

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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.