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Finding the Fourth Proportional to 27,772.80, 38,326.32 and 15,197.76

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Solution

The fourth proportional to 27,772.80, 38,326.32 and 15,197.76 is: 20,972.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772.80 : 38,326.32 = 15,197.76 : x
  2. Step 2: Convert to fraction form
    27,772.80/38,326.32 = 15,197.76/x
  3. Step 3: Cross multiply
    27,772.80x = 38,326.32 × 15,197.76
  4. Step 4: Simplify right side
    27,772.80x = 582,474,213.04
  5. Step 5: Solve for x
    x = 582,474,213.04/27,772.80
  6. Step 6: Final answer
    x = 20,972.83

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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.