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Finding the Fourth Proportional to 23,668, 35,508 and 8,876.96

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Solution

The fourth proportional to 23,668, 35,508 and 8,876.96 is: 13,317.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,668 : 35,508 = 8,876.96 : x
  2. Step 2: Convert to fraction form
    23,668/35,508 = 8,876.96/x
  3. Step 3: Cross multiply
    23,668x = 35,508 × 8,876.96
  4. Step 4: Simplify right side
    23,668x = 315,203,095.68
  5. Step 5: Solve for x
    x = 315,203,095.68/23,668
  6. Step 6: Final answer
    x = 13,317.69

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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.