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Finding the Fourth Proportional to 17,576.44, 26,371.16 and 8,219.50

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Solution

The fourth proportional to 17,576.44, 26,371.16 and 8,219.50 is: 12,332.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,576.44 : 26,371.16 = 8,219.50 : x
  2. Step 2: Convert to fraction form
    17,576.44/26,371.16 = 8,219.50/x
  3. Step 3: Cross multiply
    17,576.44x = 26,371.16 × 8,219.50
  4. Step 4: Simplify right side
    17,576.44x = 216,757,749.62
  5. Step 5: Solve for x
    x = 216,757,749.62/17,576.44
  6. Step 6: Final answer
    x = 12,332.29

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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.