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Finding the Fourth Proportional to 27,768.96, 38,321.28 and 15,194.88

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Solution

The fourth proportional to 27,768.96, 38,321.28 and 15,194.88 is: 20,969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,768.96 : 38,321.28 = 15,194.88 : x
  2. Step 2: Convert to fraction form
    27,768.96/38,321.28 = 15,194.88/x
  3. Step 3: Cross multiply
    27,768.96x = 38,321.28 × 15,194.88
  4. Step 4: Simplify right side
    27,768.96x = 582,287,251.05
  5. Step 5: Solve for x
    x = 582,287,251.05/27,768.96
  6. Step 6: Final answer
    x = 20,969.00

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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.