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Finding the Fourth Proportional to 22,358.75, 33,536.08 and 7,565.97

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Solution

The fourth proportional to 22,358.75, 33,536.08 and 7,565.97 is: 11,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358.75 : 33,536.08 = 7,565.97 : x
  2. Step 2: Convert to fraction form
    22,358.75/33,536.08 = 7,565.97/x
  3. Step 3: Cross multiply
    22,358.75x = 33,536.08 × 7,565.97
  4. Step 4: Simplify right side
    22,358.75x = 253,733,067.86
  5. Step 5: Solve for x
    x = 253,733,067.86/22,358.75
  6. Step 6: Final answer
    x = 11,348.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.