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Finding the Fourth Proportional to 27,738.30, 38,275.90 and 16,408.23

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Solution

The fourth proportional to 27,738.30, 38,275.90 and 16,408.23 is: 22,641.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,738.30 : 38,275.90 = 16,408.23 : x
  2. Step 2: Convert to fraction form
    27,738.30/38,275.90 = 16,408.23/x
  3. Step 3: Cross multiply
    27,738.30x = 38,275.90 × 16,408.23
  4. Step 4: Simplify right side
    27,738.30x = 628,039,770.66
  5. Step 5: Solve for x
    x = 628,039,770.66/27,738.30
  6. Step 6: Final answer
    x = 22,641.61

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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.