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Finding the Fourth Proportional to 13,757.34, 20,636.32 and 7,791.60

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Solution

The fourth proportional to 13,757.34, 20,636.32 and 7,791.60 is: 11,687.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.34 : 20,636.32 = 7,791.60 : x
  2. Step 2: Convert to fraction form
    13,757.34/20,636.32 = 7,791.60/x
  3. Step 3: Cross multiply
    13,757.34x = 20,636.32 × 7,791.60
  4. Step 4: Simplify right side
    13,757.34x = 160,789,808.77
  5. Step 5: Solve for x
    x = 160,789,808.77/13,757.34
  6. Step 6: Final answer
    x = 11,687.57

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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.