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Finding the Fourth Proportional to 13,458.36, 20,194.98 and 5,667

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Solution

The fourth proportional to 13,458.36, 20,194.98 and 5,667 is: 8,503.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,458.36 : 20,194.98 = 5,667 : x
  2. Step 2: Convert to fraction form
    13,458.36/20,194.98 = 5,667/x
  3. Step 3: Cross multiply
    13,458.36x = 20,194.98 × 5,667
  4. Step 4: Simplify right side
    13,458.36x = 114,444,951.66
  5. Step 5: Solve for x
    x = 114,444,951.66/13,458.36
  6. Step 6: Final answer
    x = 8,503.63

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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.