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Finding the Fourth Proportional to 23,094.88, 34,633.74 and 8,299.76

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Solution

The fourth proportional to 23,094.88, 34,633.74 and 8,299.76 is: 12,446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,094.88 : 34,633.74 = 8,299.76 : x
  2. Step 2: Convert to fraction form
    23,094.88/34,633.74 = 8,299.76/x
  3. Step 3: Cross multiply
    23,094.88x = 34,633.74 × 8,299.76
  4. Step 4: Simplify right side
    23,094.88x = 287,451,729.90
  5. Step 5: Solve for x
    x = 287,451,729.90/23,094.88
  6. Step 6: Final answer
    x = 12,446.56

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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.