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Finding the Fourth Proportional to 13,464.78, 20,170.35 and 8,193.30

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Solution

The fourth proportional to 13,464.78, 20,170.35 and 8,193.30 is: 12,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.78 : 20,170.35 = 8,193.30 : x
  2. Step 2: Convert to fraction form
    13,464.78/20,170.35 = 8,193.30/x
  3. Step 3: Cross multiply
    13,464.78x = 20,170.35 × 8,193.30
  4. Step 4: Simplify right side
    13,464.78x = 165,261,728.66
  5. Step 5: Solve for x
    x = 165,261,728.66/13,464.78
  6. Step 6: Final answer
    x = 12,273.63

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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.