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Finding the Fourth Proportional to 23,138.61, 34,694.82 and 7,340.64

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Solution

The fourth proportional to 23,138.61, 34,694.82 and 7,340.64 is: 11,006.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,138.61 : 34,694.82 = 7,340.64 : x
  2. Step 2: Convert to fraction form
    23,138.61/34,694.82 = 7,340.64/x
  3. Step 3: Cross multiply
    23,138.61x = 34,694.82 × 7,340.64
  4. Step 4: Simplify right side
    23,138.61x = 254,682,183.48
  5. Step 5: Solve for x
    x = 254,682,183.48/23,138.61
  6. Step 6: Final answer
    x = 11,006.81

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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.