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Finding the Fourth Proportional to 22,889.44, 34,335.60 and 8,096.80

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Solution

The fourth proportional to 22,889.44, 34,335.60 and 8,096.80 is: 12,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,889.44 : 34,335.60 = 8,096.80 : x
  2. Step 2: Convert to fraction form
    22,889.44/34,335.60 = 8,096.80/x
  3. Step 3: Cross multiply
    22,889.44x = 34,335.60 × 8,096.80
  4. Step 4: Simplify right side
    22,889.44x = 278,008,486.08
  5. Step 5: Solve for x
    x = 278,008,486.08/22,889.44
  6. Step 6: Final answer
    x = 12,145.71

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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.