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Finding the Fourth Proportional to 15,198.50, 22,794.24 and 5,835.44

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Solution

The fourth proportional to 15,198.50, 22,794.24 and 5,835.44 is: 8,751.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198.50 : 22,794.24 = 5,835.44 : x
  2. Step 2: Convert to fraction form
    15,198.50/22,794.24 = 5,835.44/x
  3. Step 3: Cross multiply
    15,198.50x = 22,794.24 × 5,835.44
  4. Step 4: Simplify right side
    15,198.50x = 133,014,419.87
  5. Step 5: Solve for x
    x = 133,014,419.87/15,198.50
  6. Step 6: Final answer
    x = 8,751.81

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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.