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Finding the Fourth Proportional to 27,811.26, 38,378.07 and 18,104.22

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Solution

The fourth proportional to 27,811.26, 38,378.07 and 18,104.22 is: 24,982.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,811.26 : 38,378.07 = 18,104.22 : x
  2. Step 2: Convert to fraction form
    27,811.26/38,378.07 = 18,104.22/x
  3. Step 3: Cross multiply
    27,811.26x = 38,378.07 × 18,104.22
  4. Step 4: Simplify right side
    27,811.26x = 694,805,022.46
  5. Step 5: Solve for x
    x = 694,805,022.46/27,811.26
  6. Step 6: Final answer
    x = 24,982.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.