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Finding the Fourth Proportional to 14,105.75, 19,467.99 and 8,136.24

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Solution

The fourth proportional to 14,105.75, 19,467.99 and 8,136.24 is: 11,229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.75 : 19,467.99 = 8,136.24 : x
  2. Step 2: Convert to fraction form
    14,105.75/19,467.99 = 8,136.24/x
  3. Step 3: Cross multiply
    14,105.75x = 19,467.99 × 8,136.24
  4. Step 4: Simplify right side
    14,105.75x = 158,396,238.96
  5. Step 5: Solve for x
    x = 158,396,238.96/14,105.75
  6. Step 6: Final answer
    x = 11,229.20

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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.