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Finding the Fourth Proportional to 20,757.60, 31,136.94 and 7,606.44

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Solution

The fourth proportional to 20,757.60, 31,136.94 and 7,606.44 is: 11,409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,757.60 : 31,136.94 = 7,606.44 : x
  2. Step 2: Convert to fraction form
    20,757.60/31,136.94 = 7,606.44/x
  3. Step 3: Cross multiply
    20,757.60x = 31,136.94 × 7,606.44
  4. Step 4: Simplify right side
    20,757.60x = 236,841,265.89
  5. Step 5: Solve for x
    x = 236,841,265.89/20,757.60
  6. Step 6: Final answer
    x = 11,409.86

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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.