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Finding the Fourth Proportional to 22,661, 33,983.26 and 7,865.96

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Solution

The fourth proportional to 22,661, 33,983.26 and 7,865.96 is: 11,796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,661 : 33,983.26 = 7,865.96 : x
  2. Step 2: Convert to fraction form
    22,661/33,983.26 = 7,865.96/x
  3. Step 3: Cross multiply
    22,661x = 33,983.26 × 7,865.96
  4. Step 4: Simplify right side
    22,661x = 267,310,963.83
  5. Step 5: Solve for x
    x = 267,310,963.83/22,661
  6. Step 6: Final answer
    x = 11,796.08

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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.