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Finding the Fourth Proportional to 19,662.49, 27,136.38 and 12,107.29

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Solution

The fourth proportional to 19,662.49, 27,136.38 and 12,107.29 is: 16,709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,662.49 : 27,136.38 = 12,107.29 : x
  2. Step 2: Convert to fraction form
    19,662.49/27,136.38 = 12,107.29/x
  3. Step 3: Cross multiply
    19,662.49x = 27,136.38 × 12,107.29
  4. Step 4: Simplify right side
    19,662.49x = 328,548,022.21
  5. Step 5: Solve for x
    x = 328,548,022.21/19,662.49
  6. Step 6: Final answer
    x = 16,709.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.