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Finding the Fourth Proportional to 22,531.74, 33,786.02 and 7,736.66

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Solution

The fourth proportional to 22,531.74, 33,786.02 and 7,736.66 is: 11,601.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,531.74 : 33,786.02 = 7,736.66 : x
  2. Step 2: Convert to fraction form
    22,531.74/33,786.02 = 7,736.66/x
  3. Step 3: Cross multiply
    22,531.74x = 33,786.02 × 7,736.66
  4. Step 4: Simplify right side
    22,531.74x = 261,390,949.49
  5. Step 5: Solve for x
    x = 261,390,949.49/22,531.74
  6. Step 6: Final answer
    x = 11,601.01

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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.