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Finding the Fourth Proportional to 18,224.10, 27,333 and 5,076.54

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Solution

The fourth proportional to 18,224.10, 27,333 and 5,076.54 is: 7,613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,224.10 : 27,333 = 5,076.54 : x
  2. Step 2: Convert to fraction form
    18,224.10/27,333 = 5,076.54/x
  3. Step 3: Cross multiply
    18,224.10x = 27,333 × 5,076.54
  4. Step 4: Simplify right side
    18,224.10x = 138,757,067.82
  5. Step 5: Solve for x
    x = 138,757,067.82/18,224.10
  6. Step 6: Final answer
    x = 7,613.93

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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.