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Finding the Fourth Proportional to 22,635.12, 33,940.35 and 7,842.81

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Solution

The fourth proportional to 22,635.12, 33,940.35 and 7,842.81 is: 11,759.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,635.12 : 33,940.35 = 7,842.81 : x
  2. Step 2: Convert to fraction form
    22,635.12/33,940.35 = 7,842.81/x
  3. Step 3: Cross multiply
    22,635.12x = 33,940.35 × 7,842.81
  4. Step 4: Simplify right side
    22,635.12x = 266,187,716.38
  5. Step 5: Solve for x
    x = 266,187,716.38/22,635.12
  6. Step 6: Final answer
    x = 11,759.94

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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.