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Finding the Fourth Proportional to 16,167.24, 22,311.09 and 8,997.75

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Solution

The fourth proportional to 16,167.24, 22,311.09 and 8,997.75 is: 12,417.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,167.24 : 22,311.09 = 8,997.75 : x
  2. Step 2: Convert to fraction form
    16,167.24/22,311.09 = 8,997.75/x
  3. Step 3: Cross multiply
    16,167.24x = 22,311.09 × 8,997.75
  4. Step 4: Simplify right side
    16,167.24x = 200,749,610.05
  5. Step 5: Solve for x
    x = 200,749,610.05/16,167.24
  6. Step 6: Final answer
    x = 12,417.06

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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.