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Finding the Fourth Proportional to 22,550.72, 33,824.64 and 7,766.72

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Solution

The fourth proportional to 22,550.72, 33,824.64 and 7,766.72 is: 11,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,550.72 : 33,824.64 = 7,766.72 : x
  2. Step 2: Convert to fraction form
    22,550.72/33,824.64 = 7,766.72/x
  3. Step 3: Cross multiply
    22,550.72x = 33,824.64 × 7,766.72
  4. Step 4: Simplify right side
    22,550.72x = 262,706,507.98
  5. Step 5: Solve for x
    x = 262,706,507.98/22,550.72
  6. Step 6: Final answer
    x = 11,649.58

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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.