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Finding the Fourth Proportional to 13,464.66, 20,201.31 and 8,538.42

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Solution

The fourth proportional to 13,464.66, 20,201.31 and 8,538.42 is: 12,810.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.66 : 20,201.31 = 8,538.42 : x
  2. Step 2: Convert to fraction form
    13,464.66/20,201.31 = 8,538.42/x
  3. Step 3: Cross multiply
    13,464.66x = 20,201.31 × 8,538.42
  4. Step 4: Simplify right side
    13,464.66x = 172,487,269.33
  5. Step 5: Solve for x
    x = 172,487,269.33/13,464.66
  6. Step 6: Final answer
    x = 12,810.37

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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.