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Finding the Fourth Proportional to 22,027.50, 30,398.40 and 12,467.38

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Solution

The fourth proportional to 22,027.50, 30,398.40 and 12,467.38 is: 17,205.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,027.50 : 30,398.40 = 12,467.38 : x
  2. Step 2: Convert to fraction form
    22,027.50/30,398.40 = 12,467.38/x
  3. Step 3: Cross multiply
    22,027.50x = 30,398.40 × 12,467.38
  4. Step 4: Simplify right side
    22,027.50x = 378,988,404.19
  5. Step 5: Solve for x
    x = 378,988,404.19/22,027.50
  6. Step 6: Final answer
    x = 17,205.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.