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Finding the Fourth Proportional to 23,996.76, 35,999.39 and 8,198.10

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Solution

The fourth proportional to 23,996.76, 35,999.39 and 8,198.10 is: 12,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,996.76 : 35,999.39 = 8,198.10 : x
  2. Step 2: Convert to fraction form
    23,996.76/35,999.39 = 8,198.10/x
  3. Step 3: Cross multiply
    23,996.76x = 35,999.39 × 8,198.10
  4. Step 4: Simplify right side
    23,996.76x = 295,126,522.92
  5. Step 5: Solve for x
    x = 295,126,522.92/23,996.76
  6. Step 6: Final answer
    x = 12,298.60

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