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Finding the Fourth Proportional to 22,471.91, 33,708.38 and 5,832.60

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Solution

The fourth proportional to 22,471.91, 33,708.38 and 5,832.60 is: 8,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.91 : 33,708.38 = 5,832.60 : x
  2. Step 2: Convert to fraction form
    22,471.91/33,708.38 = 5,832.60/x
  3. Step 3: Cross multiply
    22,471.91x = 33,708.38 × 5,832.60
  4. Step 4: Simplify right side
    22,471.91x = 196,607,497.19
  5. Step 5: Solve for x
    x = 196,607,497.19/22,471.91
  6. Step 6: Final answer
    x = 8,749.03

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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.