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Finding the Fourth Proportional to 18,511.57, 27,755.06 and 10,195.50

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Solution

The fourth proportional to 18,511.57, 27,755.06 and 10,195.50 is: 15,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,511.57 : 27,755.06 = 10,195.50 : x
  2. Step 2: Convert to fraction form
    18,511.57/27,755.06 = 10,195.50/x
  3. Step 3: Cross multiply
    18,511.57x = 27,755.06 × 10,195.50
  4. Step 4: Simplify right side
    18,511.57x = 282,976,767.33
  5. Step 5: Solve for x
    x = 282,976,767.33/18,511.57
  6. Step 6: Final answer
    x = 15,286.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.