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Finding the Fourth Proportional to 12,093.36, 16,676.16 and 9,571.44

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Solution

The fourth proportional to 12,093.36, 16,676.16 and 9,571.44 is: 13,198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.36 : 16,676.16 = 9,571.44 : x
  2. Step 2: Convert to fraction form
    12,093.36/16,676.16 = 9,571.44/x
  3. Step 3: Cross multiply
    12,093.36x = 16,676.16 × 9,571.44
  4. Step 4: Simplify right side
    12,093.36x = 159,614,864.87
  5. Step 5: Solve for x
    x = 159,614,864.87/12,093.36
  6. Step 6: Final answer
    x = 13,198.55

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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.