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Finding the Fourth Proportional to 21,233.44, 31,850.06 and 5,438.44

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Solution

The fourth proportional to 21,233.44, 31,850.06 and 5,438.44 is: 8,157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,233.44 : 31,850.06 = 5,438.44 : x
  2. Step 2: Convert to fraction form
    21,233.44/31,850.06 = 5,438.44/x
  3. Step 3: Cross multiply
    21,233.44x = 31,850.06 × 5,438.44
  4. Step 4: Simplify right side
    21,233.44x = 173,214,640.31
  5. Step 5: Solve for x
    x = 173,214,640.31/21,233.44
  6. Step 6: Final answer
    x = 8,157.63

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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.