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Finding the Fourth Proportional to 22,493.72, 33,745.75 and 7,702.63

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Solution

The fourth proportional to 22,493.72, 33,745.75 and 7,702.63 is: 11,555.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493.72 : 33,745.75 = 7,702.63 : x
  2. Step 2: Convert to fraction form
    22,493.72/33,745.75 = 7,702.63/x
  3. Step 3: Cross multiply
    22,493.72x = 33,745.75 × 7,702.63
  4. Step 4: Simplify right side
    22,493.72x = 259,930,922.70
  5. Step 5: Solve for x
    x = 259,930,922.70/22,493.72
  6. Step 6: Final answer
    x = 11,555.71

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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.