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Finding the Fourth Proportional to 23,745.78, 35,611.98 and 7,101.84

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Solution

The fourth proportional to 23,745.78, 35,611.98 and 7,101.84 is: 10,650.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,745.78 : 35,611.98 = 7,101.84 : x
  2. Step 2: Convert to fraction form
    23,745.78/35,611.98 = 7,101.84/x
  3. Step 3: Cross multiply
    23,745.78x = 35,611.98 × 7,101.84
  4. Step 4: Simplify right side
    23,745.78x = 252,910,584.04
  5. Step 5: Solve for x
    x = 252,910,584.04/23,745.78
  6. Step 6: Final answer
    x = 10,650.76

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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.