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Finding the Fourth Proportional to 23,227.84, 34,842.41 and 5,697.64

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Solution

The fourth proportional to 23,227.84, 34,842.41 and 5,697.64 is: 8,546.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,227.84 : 34,842.41 = 5,697.64 : x
  2. Step 2: Convert to fraction form
    23,227.84/34,842.41 = 5,697.64/x
  3. Step 3: Cross multiply
    23,227.84x = 34,842.41 × 5,697.64
  4. Step 4: Simplify right side
    23,227.84x = 198,519,508.91
  5. Step 5: Solve for x
    x = 198,519,508.91/23,227.84
  6. Step 6: Final answer
    x = 8,546.62

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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.