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Finding the Fourth Proportional to 21,286.82, 31,930.22 and 6,495.81

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Solution

The fourth proportional to 21,286.82, 31,930.22 and 6,495.81 is: 9,743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,286.82 : 31,930.22 = 6,495.81 : x
  2. Step 2: Convert to fraction form
    21,286.82/31,930.22 = 6,495.81/x
  3. Step 3: Cross multiply
    21,286.82x = 31,930.22 × 6,495.81
  4. Step 4: Simplify right side
    21,286.82x = 207,412,658.62
  5. Step 5: Solve for x
    x = 207,412,658.62/21,286.82
  6. Step 6: Final answer
    x = 9,743.72

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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.