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Finding the Fourth Proportional to 22,696.62, 34,021.46 and 8,652.87

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Solution

The fourth proportional to 22,696.62, 34,021.46 and 8,652.87 is: 12,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696.62 : 34,021.46 = 8,652.87 : x
  2. Step 2: Convert to fraction form
    22,696.62/34,021.46 = 8,652.87/x
  3. Step 3: Cross multiply
    22,696.62x = 34,021.46 × 8,652.87
  4. Step 4: Simplify right side
    22,696.62x = 294,383,227.33
  5. Step 5: Solve for x
    x = 294,383,227.33/22,696.62
  6. Step 6: Final answer
    x = 12,970.36

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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.