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Finding the Fourth Proportional to 18,131.24, 25,022.90 and 12,175.31

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Solution

The fourth proportional to 18,131.24, 25,022.90 and 12,175.31 is: 16,803.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,131.24 : 25,022.90 = 12,175.31 : x
  2. Step 2: Convert to fraction form
    18,131.24/25,022.90 = 12,175.31/x
  3. Step 3: Cross multiply
    18,131.24x = 25,022.90 × 12,175.31
  4. Step 4: Simplify right side
    18,131.24x = 304,661,469.92
  5. Step 5: Solve for x
    x = 304,661,469.92/18,131.24
  6. Step 6: Final answer
    x = 16,803.13

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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.