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Finding the Fourth Proportional to 27,687.36, 38,214 and 19,299.04

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Solution

The fourth proportional to 27,687.36, 38,214 and 19,299.04 is: 26,636.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,687.36 : 38,214 = 19,299.04 : x
  2. Step 2: Convert to fraction form
    27,687.36/38,214 = 19,299.04/x
  3. Step 3: Cross multiply
    27,687.36x = 38,214 × 19,299.04
  4. Step 4: Simplify right side
    27,687.36x = 737,493,514.56
  5. Step 5: Solve for x
    x = 737,493,514.56/27,687.36
  6. Step 6: Final answer
    x = 26,636.47

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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.