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Finding the Fourth Proportional to 17,626.82, 24,325.24 and 9,668.52

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Solution

The fourth proportional to 17,626.82, 24,325.24 and 9,668.52 is: 13,342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,626.82 : 24,325.24 = 9,668.52 : x
  2. Step 2: Convert to fraction form
    17,626.82/24,325.24 = 9,668.52/x
  3. Step 3: Cross multiply
    17,626.82x = 24,325.24 × 9,668.52
  4. Step 4: Simplify right side
    17,626.82x = 235,189,069.44
  5. Step 5: Solve for x
    x = 235,189,069.44/17,626.82
  6. Step 6: Final answer
    x = 13,342.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.