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Finding the Fourth Proportional to 17,107.82, 25,665.83 and 5,421.04

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Solution

The fourth proportional to 17,107.82, 25,665.83 and 5,421.04 is: 8,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,107.82 : 25,665.83 = 5,421.04 : x
  2. Step 2: Convert to fraction form
    17,107.82/25,665.83 = 5,421.04/x
  3. Step 3: Cross multiply
    17,107.82x = 25,665.83 × 5,421.04
  4. Step 4: Simplify right side
    17,107.82x = 139,135,491.06
  5. Step 5: Solve for x
    x = 139,135,491.06/17,107.82
  6. Step 6: Final answer
    x = 8,132.86

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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.