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Finding the Fourth Proportional to 17,622, 26,427.44 and 5,932.48

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Solution

The fourth proportional to 17,622, 26,427.44 and 5,932.48 is: 8,896.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,622 : 26,427.44 = 5,932.48 : x
  2. Step 2: Convert to fraction form
    17,622/26,427.44 = 5,932.48/x
  3. Step 3: Cross multiply
    17,622x = 26,427.44 × 5,932.48
  4. Step 4: Simplify right side
    17,622x = 156,780,259.25
  5. Step 5: Solve for x
    x = 156,780,259.25/17,622
  6. Step 6: Final answer
    x = 8,896.85

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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.