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Finding the Fourth Proportional to 21,826.22, 32,745.38 and 8,687.82

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Solution

The fourth proportional to 21,826.22, 32,745.38 and 8,687.82 is: 13,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,826.22 : 32,745.38 = 8,687.82 : x
  2. Step 2: Convert to fraction form
    21,826.22/32,745.38 = 8,687.82/x
  3. Step 3: Cross multiply
    21,826.22x = 32,745.38 × 8,687.82
  4. Step 4: Simplify right side
    21,826.22x = 284,485,920.70
  5. Step 5: Solve for x
    x = 284,485,920.70/21,826.22
  6. Step 6: Final answer
    x = 13,034.13

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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.