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Finding the Fourth Proportional to 27,196.44, 40,789.32 and 7,469.92

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Solution

The fourth proportional to 27,196.44, 40,789.32 and 7,469.92 is: 11,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,196.44 : 40,789.32 = 7,469.92 : x
  2. Step 2: Convert to fraction form
    27,196.44/40,789.32 = 7,469.92/x
  3. Step 3: Cross multiply
    27,196.44x = 40,789.32 × 7,469.92
  4. Step 4: Simplify right side
    27,196.44x = 304,692,957.25
  5. Step 5: Solve for x
    x = 304,692,957.25/27,196.44
  6. Step 6: Final answer
    x = 11,203.41

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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.