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Finding the Fourth Proportional to 18,576.26, 27,871.50 and 11,186

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Solution

The fourth proportional to 18,576.26, 27,871.50 and 11,186 is: 16,783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,576.26 : 27,871.50 = 11,186 : x
  2. Step 2: Convert to fraction form
    18,576.26/27,871.50 = 11,186/x
  3. Step 3: Cross multiply
    18,576.26x = 27,871.50 × 11,186
  4. Step 4: Simplify right side
    18,576.26x = 311,770,599
  5. Step 5: Solve for x
    x = 311,770,599/18,576.26
  6. Step 6: Final answer
    x = 16,783.28

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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.