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Finding the Fourth Proportional to 22,632.72, 33,942.60 and 7,837.80

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Solution

The fourth proportional to 22,632.72, 33,942.60 and 7,837.80 is: 11,754.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,632.72 : 33,942.60 = 7,837.80 : x
  2. Step 2: Convert to fraction form
    22,632.72/33,942.60 = 7,837.80/x
  3. Step 3: Cross multiply
    22,632.72x = 33,942.60 × 7,837.80
  4. Step 4: Simplify right side
    22,632.72x = 266,035,310.28
  5. Step 5: Solve for x
    x = 266,035,310.28/22,632.72
  6. Step 6: Final answer
    x = 11,754.46

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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.