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Finding the Fourth Proportional to 17,882.14, 26,817.13 and 6,192.63

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Solution

The fourth proportional to 17,882.14, 26,817.13 and 6,192.63 is: 9,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.14 : 26,817.13 = 6,192.63 : x
  2. Step 2: Convert to fraction form
    17,882.14/26,817.13 = 6,192.63/x
  3. Step 3: Cross multiply
    17,882.14x = 26,817.13 × 6,192.63
  4. Step 4: Simplify right side
    17,882.14x = 166,068,563.75
  5. Step 5: Solve for x
    x = 166,068,563.75/17,882.14
  6. Step 6: Final answer
    x = 9,286.84

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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.