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Finding the Fourth Proportional to 23,936.50, 35,911.58 and 8,144.99

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Solution

The fourth proportional to 23,936.50, 35,911.58 and 8,144.99 is: 12,219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,936.50 : 35,911.58 = 8,144.99 : x
  2. Step 2: Convert to fraction form
    23,936.50/35,911.58 = 8,144.99/x
  3. Step 3: Cross multiply
    23,936.50x = 35,911.58 × 8,144.99
  4. Step 4: Simplify right side
    23,936.50x = 292,499,459.98
  5. Step 5: Solve for x
    x = 292,499,459.98/23,936.50
  6. Step 6: Final answer
    x = 12,219.81

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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.