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Finding the Fourth Proportional to 27,767.97, 38,304.22 and 17,018.05

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Solution

The fourth proportional to 27,767.97, 38,304.22 and 17,018.05 is: 23,475.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,767.97 : 38,304.22 = 17,018.05 : x
  2. Step 2: Convert to fraction form
    27,767.97/38,304.22 = 17,018.05/x
  3. Step 3: Cross multiply
    27,767.97x = 38,304.22 × 17,018.05
  4. Step 4: Simplify right side
    27,767.97x = 651,863,221.60
  5. Step 5: Solve for x
    x = 651,863,221.60/27,767.97
  6. Step 6: Final answer
    x = 23,475.36

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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.