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Finding the Fourth Proportional to 24,310.40, 36,469.22 and 7,668.68

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Solution

The fourth proportional to 24,310.40, 36,469.22 and 7,668.68 is: 11,504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,310.40 : 36,469.22 = 7,668.68 : x
  2. Step 2: Convert to fraction form
    24,310.40/36,469.22 = 7,668.68/x
  3. Step 3: Cross multiply
    24,310.40x = 36,469.22 × 7,668.68
  4. Step 4: Simplify right side
    24,310.40x = 279,670,778.03
  5. Step 5: Solve for x
    x = 279,670,778.03/24,310.40
  6. Step 6: Final answer
    x = 11,504.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.