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Finding the Fourth Proportional to 16,311.54, 22,502.70 and 10,027.56

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Solution

The fourth proportional to 16,311.54, 22,502.70 and 10,027.56 is: 13,833.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311.54 : 22,502.70 = 10,027.56 : x
  2. Step 2: Convert to fraction form
    16,311.54/22,502.70 = 10,027.56/x
  3. Step 3: Cross multiply
    16,311.54x = 22,502.70 × 10,027.56
  4. Step 4: Simplify right side
    16,311.54x = 225,647,174.41
  5. Step 5: Solve for x
    x = 225,647,174.41/16,311.54
  6. Step 6: Final answer
    x = 13,833.59

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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.