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Finding the Fourth Proportional to 20,687.56, 28,553.94 and 13,231.24

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Solution

The fourth proportional to 20,687.56, 28,553.94 and 13,231.24 is: 18,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,687.56 : 28,553.94 = 13,231.24 : x
  2. Step 2: Convert to fraction form
    20,687.56/28,553.94 = 13,231.24/x
  3. Step 3: Cross multiply
    20,687.56x = 28,553.94 × 13,231.24
  4. Step 4: Simplify right side
    20,687.56x = 377,804,033.09
  5. Step 5: Solve for x
    x = 377,804,033.09/20,687.56
  6. Step 6: Final answer
    x = 18,262.38

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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.