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Finding the Fourth Proportional to 23,778.10, 35,668.86 and 8,195.50

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Solution

The fourth proportional to 23,778.10, 35,668.86 and 8,195.50 is: 12,293.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,778.10 : 35,668.86 = 8,195.50 : x
  2. Step 2: Convert to fraction form
    23,778.10/35,668.86 = 8,195.50/x
  3. Step 3: Cross multiply
    23,778.10x = 35,668.86 × 8,195.50
  4. Step 4: Simplify right side
    23,778.10x = 292,324,142.13
  5. Step 5: Solve for x
    x = 292,324,142.13/23,778.10
  6. Step 6: Final answer
    x = 12,293.84

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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.