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Finding the Fourth Proportional to 12,682.70, 17,507.84 and 8,441.27

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Solution

The fourth proportional to 12,682.70, 17,507.84 and 8,441.27 is: 11,652.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.70 : 17,507.84 = 8,441.27 : x
  2. Step 2: Convert to fraction form
    12,682.70/17,507.84 = 8,441.27/x
  3. Step 3: Cross multiply
    12,682.70x = 17,507.84 × 8,441.27
  4. Step 4: Simplify right side
    12,682.70x = 147,788,404.56
  5. Step 5: Solve for x
    x = 147,788,404.56/12,682.70
  6. Step 6: Final answer
    x = 11,652.76

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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.