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Finding the Fourth Proportional to 13,662.38, 20,483.17 and 5,767.31

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Solution

The fourth proportional to 13,662.38, 20,483.17 and 5,767.31 is: 8,646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.38 : 20,483.17 = 5,767.31 : x
  2. Step 2: Convert to fraction form
    13,662.38/20,483.17 = 5,767.31/x
  3. Step 3: Cross multiply
    13,662.38x = 20,483.17 × 5,767.31
  4. Step 4: Simplify right side
    13,662.38x = 118,132,791.17
  5. Step 5: Solve for x
    x = 118,132,791.17/13,662.38
  6. Step 6: Final answer
    x = 8,646.57

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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.