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Finding the Fourth Proportional to 27,767.28, 38,318.52 and 15,192

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Solution

The fourth proportional to 27,767.28, 38,318.52 and 15,192 is: 20,964.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,767.28 : 38,318.52 = 15,192 : x
  2. Step 2: Convert to fraction form
    27,767.28/38,318.52 = 15,192/x
  3. Step 3: Cross multiply
    27,767.28x = 38,318.52 × 15,192
  4. Step 4: Simplify right side
    27,767.28x = 582,134,955.84
  5. Step 5: Solve for x
    x = 582,134,955.84/27,767.28
  6. Step 6: Final answer
    x = 20,964.78

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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.