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Finding the Fourth Proportional to 20,997.99, 31,502.40 and 7,850.46

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Solution

The fourth proportional to 20,997.99, 31,502.40 and 7,850.46 is: 11,777.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,997.99 : 31,502.40 = 7,850.46 : x
  2. Step 2: Convert to fraction form
    20,997.99/31,502.40 = 7,850.46/x
  3. Step 3: Cross multiply
    20,997.99x = 31,502.40 × 7,850.46
  4. Step 4: Simplify right side
    20,997.99x = 247,308,331.10
  5. Step 5: Solve for x
    x = 247,308,331.10/20,997.99
  6. Step 6: Final answer
    x = 11,777.71

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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.