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Finding the Fourth Proportional to 22,516.92, 33,767.28 and 7,722

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Solution

The fourth proportional to 22,516.92, 33,767.28 and 7,722 is: 11,580.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,516.92 : 33,767.28 = 7,722 : x
  2. Step 2: Convert to fraction form
    22,516.92/33,767.28 = 7,722/x
  3. Step 3: Cross multiply
    22,516.92x = 33,767.28 × 7,722
  4. Step 4: Simplify right side
    22,516.92x = 260,750,936.16
  5. Step 5: Solve for x
    x = 260,750,936.16/22,516.92
  6. Step 6: Final answer
    x = 11,580.22

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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.