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Finding the Fourth Proportional to 17,214.35, 25,817.87 and 5,524.83

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Solution

The fourth proportional to 17,214.35, 25,817.87 and 5,524.83 is: 8,286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,214.35 : 25,817.87 = 5,524.83 : x
  2. Step 2: Convert to fraction form
    17,214.35/25,817.87 = 5,524.83/x
  3. Step 3: Cross multiply
    17,214.35x = 25,817.87 × 5,524.83
  4. Step 4: Simplify right side
    17,214.35x = 142,639,315.09
  5. Step 5: Solve for x
    x = 142,639,315.09/17,214.35
  6. Step 6: Final answer
    x = 8,286.07

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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.