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Finding the Fourth Proportional to 21,974.20, 32,957.92 and 7,183.20

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Solution

The fourth proportional to 21,974.20, 32,957.92 and 7,183.20 is: 10,773.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,974.20 : 32,957.92 = 7,183.20 : x
  2. Step 2: Convert to fraction form
    21,974.20/32,957.92 = 7,183.20/x
  3. Step 3: Cross multiply
    21,974.20x = 32,957.92 × 7,183.20
  4. Step 4: Simplify right side
    21,974.20x = 236,743,330.94
  5. Step 5: Solve for x
    x = 236,743,330.94/21,974.20
  6. Step 6: Final answer
    x = 10,773.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.