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Finding the Fourth Proportional to 22,524.21, 33,786.81 and 7,733.25

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Solution

The fourth proportional to 22,524.21, 33,786.81 and 7,733.25 is: 11,600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524.21 : 33,786.81 = 7,733.25 : x
  2. Step 2: Convert to fraction form
    22,524.21/33,786.81 = 7,733.25/x
  3. Step 3: Cross multiply
    22,524.21x = 33,786.81 × 7,733.25
  4. Step 4: Simplify right side
    22,524.21x = 261,281,848.43
  5. Step 5: Solve for x
    x = 261,281,848.43/22,524.21
  6. Step 6: Final answer
    x = 11,600.04

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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.