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Finding the Fourth Proportional to 27,662.43, 38,143.92 and 18,694.38

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Solution

The fourth proportional to 27,662.43, 38,143.92 and 18,694.38 is: 25,777.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,662.43 : 38,143.92 = 18,694.38 : x
  2. Step 2: Convert to fraction form
    27,662.43/38,143.92 = 18,694.38/x
  3. Step 3: Cross multiply
    27,662.43x = 38,143.92 × 18,694.38
  4. Step 4: Simplify right side
    27,662.43x = 713,076,935.17
  5. Step 5: Solve for x
    x = 713,076,935.17/27,662.43
  6. Step 6: Final answer
    x = 25,777.81

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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.