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Finding the Fourth Proportional to 27,693, 41,556.78 and 11,277

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Solution

The fourth proportional to 27,693, 41,556.78 and 11,277 is: 16,922.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,693 : 41,556.78 = 11,277 : x
  2. Step 2: Convert to fraction form
    27,693/41,556.78 = 11,277/x
  3. Step 3: Cross multiply
    27,693x = 41,556.78 × 11,277
  4. Step 4: Simplify right side
    27,693x = 468,635,808.06
  5. Step 5: Solve for x
    x = 468,635,808.06/27,693
  6. Step 6: Final answer
    x = 16,922.54

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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.