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Finding the Fourth Proportional to 21,286.77, 31,930.16 and 8,793.06

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Solution

The fourth proportional to 21,286.77, 31,930.16 and 8,793.06 is: 13,189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,286.77 : 31,930.16 = 8,793.06 : x
  2. Step 2: Convert to fraction form
    21,286.77/31,930.16 = 8,793.06/x
  3. Step 3: Cross multiply
    21,286.77x = 31,930.16 × 8,793.06
  4. Step 4: Simplify right side
    21,286.77x = 280,763,812.69
  5. Step 5: Solve for x
    x = 280,763,812.69/21,286.77
  6. Step 6: Final answer
    x = 13,189.59

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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.