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Finding the Fourth Proportional to 11,609.99, 17,414.96 and 4,214.43

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Solution

The fourth proportional to 11,609.99, 17,414.96 and 4,214.43 is: 6,321.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.99 : 17,414.96 = 4,214.43 : x
  2. Step 2: Convert to fraction form
    11,609.99/17,414.96 = 4,214.43/x
  3. Step 3: Cross multiply
    11,609.99x = 17,414.96 × 4,214.43
  4. Step 4: Simplify right side
    11,609.99x = 73,394,108.80
  5. Step 5: Solve for x
    x = 73,394,108.80/11,609.99
  6. Step 6: Final answer
    x = 6,321.64

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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.