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Finding the Fourth Proportional to 22,712.67, 34,056.64 and 7,917.61

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Solution

The fourth proportional to 22,712.67, 34,056.64 and 7,917.61 is: 11,872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,712.67 : 34,056.64 = 7,917.61 : x
  2. Step 2: Convert to fraction form
    22,712.67/34,056.64 = 7,917.61/x
  3. Step 3: Cross multiply
    22,712.67x = 34,056.64 × 7,917.61
  4. Step 4: Simplify right side
    22,712.67x = 269,647,193.43
  5. Step 5: Solve for x
    x = 269,647,193.43/22,712.67
  6. Step 6: Final answer
    x = 11,872.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.