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Finding the Fourth Proportional to 12,816.80, 17,676.14 and 8,338.92

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Solution

The fourth proportional to 12,816.80, 17,676.14 and 8,338.92 is: 11,500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.80 : 17,676.14 = 8,338.92 : x
  2. Step 2: Convert to fraction form
    12,816.80/17,676.14 = 8,338.92/x
  3. Step 3: Cross multiply
    12,816.80x = 17,676.14 × 8,338.92
  4. Step 4: Simplify right side
    12,816.80x = 147,399,917.37
  5. Step 5: Solve for x
    x = 147,399,917.37/12,816.80
  6. Step 6: Final answer
    x = 11,500.52

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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.