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Finding the Fourth Proportional to 22,584, 33,876.24 and 7,796.64

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Solution

The fourth proportional to 22,584, 33,876.24 and 7,796.64 is: 11,695.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584 : 33,876.24 = 7,796.64 : x
  2. Step 2: Convert to fraction form
    22,584/33,876.24 = 7,796.64/x
  3. Step 3: Cross multiply
    22,584x = 33,876.24 × 7,796.64
  4. Step 4: Simplify right side
    22,584x = 264,120,847.83
  5. Step 5: Solve for x
    x = 264,120,847.83/22,584
  6. Step 6: Final answer
    x = 11,695.04

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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.