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Finding the Fourth Proportional to 22,311.87, 33,469.02 and 7,525.32

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Solution

The fourth proportional to 22,311.87, 33,469.02 and 7,525.32 is: 11,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,311.87 : 33,469.02 = 7,525.32 : x
  2. Step 2: Convert to fraction form
    22,311.87/33,469.02 = 7,525.32/x
  3. Step 3: Cross multiply
    22,311.87x = 33,469.02 × 7,525.32
  4. Step 4: Simplify right side
    22,311.87x = 251,865,085.59
  5. Step 5: Solve for x
    x = 251,865,085.59/22,311.87
  6. Step 6: Final answer
    x = 11,288.39

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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.