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Finding the Fourth Proportional to 17,882.96, 26,824.46 and 6,196.19

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Solution

The fourth proportional to 17,882.96, 26,824.46 and 6,196.19 is: 9,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.96 : 26,824.46 = 6,196.19 : x
  2. Step 2: Convert to fraction form
    17,882.96/26,824.46 = 6,196.19/x
  3. Step 3: Cross multiply
    17,882.96x = 26,824.46 × 6,196.19
  4. Step 4: Simplify right side
    17,882.96x = 166,209,285.70
  5. Step 5: Solve for x
    x = 166,209,285.70/17,882.96
  6. Step 6: Final answer
    x = 9,294.29

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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.