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Finding the Fourth Proportional to 13,464.52, 18,580.50 and 8,161.48

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Solution

The fourth proportional to 13,464.52, 18,580.50 and 8,161.48 is: 11,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.52 : 18,580.50 = 8,161.48 : x
  2. Step 2: Convert to fraction form
    13,464.52/18,580.50 = 8,161.48/x
  3. Step 3: Cross multiply
    13,464.52x = 18,580.50 × 8,161.48
  4. Step 4: Simplify right side
    13,464.52x = 151,644,379.14
  5. Step 5: Solve for x
    x = 151,644,379.14/13,464.52
  6. Step 6: Final answer
    x = 11,262.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.