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Finding the Fourth Proportional to 12,770.46, 19,163.34 and 5,374.44

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Solution

The fourth proportional to 12,770.46, 19,163.34 and 5,374.44 is: 8,064.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.46 : 19,163.34 = 5,374.44 : x
  2. Step 2: Convert to fraction form
    12,770.46/19,163.34 = 5,374.44/x
  3. Step 3: Cross multiply
    12,770.46x = 19,163.34 × 5,374.44
  4. Step 4: Simplify right side
    12,770.46x = 102,992,221.03
  5. Step 5: Solve for x
    x = 102,992,221.03/12,770.46
  6. Step 6: Final answer
    x = 8,064.88

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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.