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Finding the Fourth Proportional to 36,805.36, 55,214.52 and 13,464.40

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Solution

The fourth proportional to 36,805.36, 55,214.52 and 13,464.40 is: 20,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,805.36 : 55,214.52 = 13,464.40 : x
  2. Step 2: Convert to fraction form
    36,805.36/55,214.52 = 13,464.40/x
  3. Step 3: Cross multiply
    36,805.36x = 55,214.52 × 13,464.40
  4. Step 4: Simplify right side
    36,805.36x = 743,430,383.09
  5. Step 5: Solve for x
    x = 743,430,383.09/36,805.36
  6. Step 6: Final answer
    x = 20,198.97

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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.