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Finding the Fourth Proportional to 22,525.86, 33,745.04 and 10,847.28

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Solution

The fourth proportional to 22,525.86, 33,745.04 and 10,847.28 is: 16,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,525.86 : 33,745.04 = 10,847.28 : x
  2. Step 2: Convert to fraction form
    22,525.86/33,745.04 = 10,847.28/x
  3. Step 3: Cross multiply
    22,525.86x = 33,745.04 × 10,847.28
  4. Step 4: Simplify right side
    22,525.86x = 366,041,755.88
  5. Step 5: Solve for x
    x = 366,041,755.88/22,525.86
  6. Step 6: Final answer
    x = 16,249.85

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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.