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Finding the Fourth Proportional to 13,201.74, 19,791.69 and 6,178.29

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Solution

The fourth proportional to 13,201.74, 19,791.69 and 6,178.29 is: 9,262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.74 : 19,791.69 = 6,178.29 : x
  2. Step 2: Convert to fraction form
    13,201.74/19,791.69 = 6,178.29/x
  3. Step 3: Cross multiply
    13,201.74x = 19,791.69 × 6,178.29
  4. Step 4: Simplify right side
    13,201.74x = 122,278,800.41
  5. Step 5: Solve for x
    x = 122,278,800.41/13,201.74
  6. Step 6: Final answer
    x = 9,262.32

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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.