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Finding the Fourth Proportional to 27,768.28, 38,319.90 and 15,193

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Solution

The fourth proportional to 27,768.28, 38,319.90 and 15,193 is: 20,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,768.28 : 38,319.90 = 15,193 : x
  2. Step 2: Convert to fraction form
    27,768.28/38,319.90 = 15,193/x
  3. Step 3: Cross multiply
    27,768.28x = 38,319.90 × 15,193
  4. Step 4: Simplify right side
    27,768.28x = 582,194,240.70
  5. Step 5: Solve for x
    x = 582,194,240.70/27,768.28
  6. Step 6: Final answer
    x = 20,966.16

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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.