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Finding the Fourth Proportional to 16,022.76, 24,027.22 and 5,493.81

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Solution

The fourth proportional to 16,022.76, 24,027.22 and 5,493.81 is: 8,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,022.76 : 24,027.22 = 5,493.81 : x
  2. Step 2: Convert to fraction form
    16,022.76/24,027.22 = 5,493.81/x
  3. Step 3: Cross multiply
    16,022.76x = 24,027.22 × 5,493.81
  4. Step 4: Simplify right side
    16,022.76x = 132,000,833.90
  5. Step 5: Solve for x
    x = 132,000,833.90/16,022.76
  6. Step 6: Final answer
    x = 8,238.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.