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Finding the Fourth Proportional to 22,632.80, 33,941.09 and 7,837.74

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Solution

The fourth proportional to 22,632.80, 33,941.09 and 7,837.74 is: 11,753.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,632.80 : 33,941.09 = 7,837.74 : x
  2. Step 2: Convert to fraction form
    22,632.80/33,941.09 = 7,837.74/x
  3. Step 3: Cross multiply
    22,632.80x = 33,941.09 × 7,837.74
  4. Step 4: Simplify right side
    22,632.80x = 266,021,399.55
  5. Step 5: Solve for x
    x = 266,021,399.55/22,632.80
  6. Step 6: Final answer
    x = 11,753.80

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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.