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Finding the Fourth Proportional to 27,568.82, 38,043.83 and 16,238.78

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Solution

The fourth proportional to 27,568.82, 38,043.83 and 16,238.78 is: 22,408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,568.82 : 38,043.83 = 16,238.78 : x
  2. Step 2: Convert to fraction form
    27,568.82/38,043.83 = 16,238.78/x
  3. Step 3: Cross multiply
    27,568.82x = 38,043.83 × 16,238.78
  4. Step 4: Simplify right side
    27,568.82x = 617,785,114.31
  5. Step 5: Solve for x
    x = 617,785,114.31/27,568.82
  6. Step 6: Final answer
    x = 22,408.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.