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Finding the Fourth Proportional to 22,421.53, 33,634.23 and 5,781.42

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Solution

The fourth proportional to 22,421.53, 33,634.23 and 5,781.42 is: 8,672.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,421.53 : 33,634.23 = 5,781.42 : x
  2. Step 2: Convert to fraction form
    22,421.53/33,634.23 = 5,781.42/x
  3. Step 3: Cross multiply
    22,421.53x = 33,634.23 × 5,781.42
  4. Step 4: Simplify right side
    22,421.53x = 194,453,610.01
  5. Step 5: Solve for x
    x = 194,453,610.01/22,421.53
  6. Step 6: Final answer
    x = 8,672.63

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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.