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Finding the Fourth Proportional to 21,233.47, 31,850.49 and 8,086.57

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Solution

The fourth proportional to 21,233.47, 31,850.49 and 8,086.57 is: 12,129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,233.47 : 31,850.49 = 8,086.57 : x
  2. Step 2: Convert to fraction form
    21,233.47/31,850.49 = 8,086.57/x
  3. Step 3: Cross multiply
    21,233.47x = 31,850.49 × 8,086.57
  4. Step 4: Simplify right side
    21,233.47x = 257,561,216.92
  5. Step 5: Solve for x
    x = 257,561,216.92/21,233.47
  6. Step 6: Final answer
    x = 12,129.96

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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.