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Finding the Fourth Proportional to 27,378.92, 37,765.86 and 16,193

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Solution

The fourth proportional to 27,378.92, 37,765.86 and 16,193 is: 22,336.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,378.92 : 37,765.86 = 16,193 : x
  2. Step 2: Convert to fraction form
    27,378.92/37,765.86 = 16,193/x
  3. Step 3: Cross multiply
    27,378.92x = 37,765.86 × 16,193
  4. Step 4: Simplify right side
    27,378.92x = 611,542,570.98
  5. Step 5: Solve for x
    x = 611,542,570.98/27,378.92
  6. Step 6: Final answer
    x = 22,336.26

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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.