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Finding the Fourth Proportional to 13,866.27, 20,791.78 and 6,830.80

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Solution

The fourth proportional to 13,866.27, 20,791.78 and 6,830.80 is: 10,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.27 : 20,791.78 = 6,830.80 : x
  2. Step 2: Convert to fraction form
    13,866.27/20,791.78 = 6,830.80/x
  3. Step 3: Cross multiply
    13,866.27x = 20,791.78 × 6,830.80
  4. Step 4: Simplify right side
    13,866.27x = 142,024,490.82
  5. Step 5: Solve for x
    x = 142,024,490.82/13,866.27
  6. Step 6: Final answer
    x = 10,242.44

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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.