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Finding the Fourth Proportional to 21,233.46, 31,850.06 and 5,438.46

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Solution

The fourth proportional to 21,233.46, 31,850.06 and 5,438.46 is: 8,157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,233.46 : 31,850.06 = 5,438.46 : x
  2. Step 2: Convert to fraction form
    21,233.46/31,850.06 = 5,438.46/x
  3. Step 3: Cross multiply
    21,233.46x = 31,850.06 × 5,438.46
  4. Step 4: Simplify right side
    21,233.46x = 173,215,277.31
  5. Step 5: Solve for x
    x = 173,215,277.31/21,233.46
  6. Step 6: Final answer
    x = 8,157.66

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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.