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Finding the Fourth Proportional to 14,105.82, 19,468.02 and 8,136.24

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Solution

The fourth proportional to 14,105.82, 19,468.02 and 8,136.24 is: 11,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.82 : 19,468.02 = 8,136.24 : x
  2. Step 2: Convert to fraction form
    14,105.82/19,468.02 = 8,136.24/x
  3. Step 3: Cross multiply
    14,105.82x = 19,468.02 × 8,136.24
  4. Step 4: Simplify right side
    14,105.82x = 158,396,483.04
  5. Step 5: Solve for x
    x = 158,396,483.04/14,105.82
  6. Step 6: Final answer
    x = 11,229.16

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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.