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Finding the Fourth Proportional to 13,893.99, 19,174.49 and 8,232.09

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Solution

The fourth proportional to 13,893.99, 19,174.49 and 8,232.09 is: 11,360.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,893.99 : 19,174.49 = 8,232.09 : x
  2. Step 2: Convert to fraction form
    13,893.99/19,174.49 = 8,232.09/x
  3. Step 3: Cross multiply
    13,893.99x = 19,174.49 × 8,232.09
  4. Step 4: Simplify right side
    13,893.99x = 157,846,127.38
  5. Step 5: Solve for x
    x = 157,846,127.38/13,893.99
  6. Step 6: Final answer
    x = 11,360.75

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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.