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Finding the Fourth Proportional to 24,998.22, 37,494.09 and 7,469.82

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Solution

The fourth proportional to 24,998.22, 37,494.09 and 7,469.82 is: 11,203.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,998.22 : 37,494.09 = 7,469.82 : x
  2. Step 2: Convert to fraction form
    24,998.22/37,494.09 = 7,469.82/x
  3. Step 3: Cross multiply
    24,998.22x = 37,494.09 × 7,469.82
  4. Step 4: Simplify right side
    24,998.22x = 280,074,103.36
  5. Step 5: Solve for x
    x = 280,074,103.36/24,998.22
  6. Step 6: Final answer
    x = 11,203.76

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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.