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Finding the Fourth Proportional to 12,676, 17,500.56 and 8,267.68

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Solution

The fourth proportional to 12,676, 17,500.56 and 8,267.68 is: 11,414.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,676 : 17,500.56 = 8,267.68 : x
  2. Step 2: Convert to fraction form
    12,676/17,500.56 = 8,267.68/x
  3. Step 3: Cross multiply
    12,676x = 17,500.56 × 8,267.68
  4. Step 4: Simplify right side
    12,676x = 144,689,029.90
  5. Step 5: Solve for x
    x = 144,689,029.90/12,676
  6. Step 6: Final answer
    x = 11,414.41

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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.