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Finding the Fourth Proportional to 21,974.09, 32,965.21 and 7,183.79

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Solution

The fourth proportional to 21,974.09, 32,965.21 and 7,183.79 is: 10,777.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,974.09 : 32,965.21 = 7,183.79 : x
  2. Step 2: Convert to fraction form
    21,974.09/32,965.21 = 7,183.79/x
  3. Step 3: Cross multiply
    21,974.09x = 32,965.21 × 7,183.79
  4. Step 4: Simplify right side
    21,974.09x = 236,815,113.72
  5. Step 5: Solve for x
    x = 236,815,113.72/21,974.09
  6. Step 6: Final answer
    x = 10,777.02

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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.