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Finding the Fourth Proportional to 12,029.39, 18,043.68 and 4,238

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Solution

The fourth proportional to 12,029.39, 18,043.68 and 4,238 is: 6,356.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029.39 : 18,043.68 = 4,238 : x
  2. Step 2: Convert to fraction form
    12,029.39/18,043.68 = 4,238/x
  3. Step 3: Cross multiply
    12,029.39x = 18,043.68 × 4,238
  4. Step 4: Simplify right side
    12,029.39x = 76,469,115.84
  5. Step 5: Solve for x
    x = 76,469,115.84/12,029.39
  6. Step 6: Final answer
    x = 6,356.86

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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.