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Finding the Fourth Proportional to 21,286.25, 31,933.25 and 8,799.49

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Solution

The fourth proportional to 21,286.25, 31,933.25 and 8,799.49 is: 13,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,286.25 : 31,933.25 = 8,799.49 : x
  2. Step 2: Convert to fraction form
    21,286.25/31,933.25 = 8,799.49/x
  3. Step 3: Cross multiply
    21,286.25x = 31,933.25 × 8,799.49
  4. Step 4: Simplify right side
    21,286.25x = 280,996,309.96
  5. Step 5: Solve for x
    x = 280,996,309.96/21,286.25
  6. Step 6: Final answer
    x = 13,200.84

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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.