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Finding the Fourth Proportional to 23,896.12, 35,850.12 and 8,313.88

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Solution

The fourth proportional to 23,896.12, 35,850.12 and 8,313.88 is: 12,472.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,896.12 : 35,850.12 = 8,313.88 : x
  2. Step 2: Convert to fraction form
    23,896.12/35,850.12 = 8,313.88/x
  3. Step 3: Cross multiply
    23,896.12x = 35,850.12 × 8,313.88
  4. Step 4: Simplify right side
    23,896.12x = 298,053,595.67
  5. Step 5: Solve for x
    x = 298,053,595.67/23,896.12
  6. Step 6: Final answer
    x = 12,472.89

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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.