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Finding the Fourth Proportional to 20,906.34, 31,349.11 and 7,578.80

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Solution

The fourth proportional to 20,906.34, 31,349.11 and 7,578.80 is: 11,364.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,906.34 : 31,349.11 = 7,578.80 : x
  2. Step 2: Convert to fraction form
    20,906.34/31,349.11 = 7,578.80/x
  3. Step 3: Cross multiply
    20,906.34x = 31,349.11 × 7,578.80
  4. Step 4: Simplify right side
    20,906.34x = 237,588,634.87
  5. Step 5: Solve for x
    x = 237,588,634.87/20,906.34
  6. Step 6: Final answer
    x = 11,364.43

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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.