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Finding the Fourth Proportional to 21,747.57, 32,626.82 and 6,165.20

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Solution

The fourth proportional to 21,747.57, 32,626.82 and 6,165.20 is: 9,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,747.57 : 32,626.82 = 6,165.20 : x
  2. Step 2: Convert to fraction form
    21,747.57/32,626.82 = 6,165.20/x
  3. Step 3: Cross multiply
    21,747.57x = 32,626.82 × 6,165.20
  4. Step 4: Simplify right side
    21,747.57x = 201,150,676.70
  5. Step 5: Solve for x
    x = 201,150,676.70/21,747.57
  6. Step 6: Final answer
    x = 9,249.34

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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.