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Finding the Fourth Proportional to 22,067.64, 33,102.60 and 7,275.96

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Solution

The fourth proportional to 22,067.64, 33,102.60 and 7,275.96 is: 10,914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,067.64 : 33,102.60 = 7,275.96 : x
  2. Step 2: Convert to fraction form
    22,067.64/33,102.60 = 7,275.96/x
  3. Step 3: Cross multiply
    22,067.64x = 33,102.60 × 7,275.96
  4. Step 4: Simplify right side
    22,067.64x = 240,853,193.50
  5. Step 5: Solve for x
    x = 240,853,193.50/22,067.64
  6. Step 6: Final answer
    x = 10,914.32

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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.