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Finding the Fourth Proportional to 21,262.34, 31,882.88 and 7,930.82

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Solution

The fourth proportional to 21,262.34, 31,882.88 and 7,930.82 is: 11,892.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,262.34 : 31,882.88 = 7,930.82 : x
  2. Step 2: Convert to fraction form
    21,262.34/31,882.88 = 7,930.82/x
  3. Step 3: Cross multiply
    21,262.34x = 31,882.88 × 7,930.82
  4. Step 4: Simplify right side
    21,262.34x = 252,857,382.36
  5. Step 5: Solve for x
    x = 252,857,382.36/21,262.34
  6. Step 6: Final answer
    x = 11,892.27

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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.