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Finding the Fourth Proportional to 17,626.48, 24,324.52 and 9,668.74

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Solution

The fourth proportional to 17,626.48, 24,324.52 and 9,668.74 is: 13,342.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,626.48 : 24,324.52 = 9,668.74 : x
  2. Step 2: Convert to fraction form
    17,626.48/24,324.52 = 9,668.74/x
  3. Step 3: Cross multiply
    17,626.48x = 24,324.52 × 9,668.74
  4. Step 4: Simplify right side
    17,626.48x = 235,187,459.50
  5. Step 5: Solve for x
    x = 235,187,459.50/17,626.48
  6. Step 6: Final answer
    x = 13,342.85

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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.