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Finding the Fourth Proportional to 12,028.78, 18,046.41 and 4,238.38

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Solution

The fourth proportional to 12,028.78, 18,046.41 and 4,238.38 is: 6,358.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,028.78 : 18,046.41 = 4,238.38 : x
  2. Step 2: Convert to fraction form
    12,028.78/18,046.41 = 4,238.38/x
  3. Step 3: Cross multiply
    12,028.78x = 18,046.41 × 4,238.38
  4. Step 4: Simplify right side
    12,028.78x = 76,487,543.22
  5. Step 5: Solve for x
    x = 76,487,543.22/12,028.78
  6. Step 6: Final answer
    x = 6,358.71

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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.