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Finding the Fourth Proportional to 22,542.72, 33,801.84 and 6,745.56

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Solution

The fourth proportional to 22,542.72, 33,801.84 and 6,745.56 is: 10,114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,542.72 : 33,801.84 = 6,745.56 : x
  2. Step 2: Convert to fraction form
    22,542.72/33,801.84 = 6,745.56/x
  3. Step 3: Cross multiply
    22,542.72x = 33,801.84 × 6,745.56
  4. Step 4: Simplify right side
    22,542.72x = 228,012,339.83
  5. Step 5: Solve for x
    x = 228,012,339.83/22,542.72
  6. Step 6: Final answer
    x = 10,114.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.