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Finding the Fourth Proportional to 12,227.37, 16,884.12 and 7,759.05

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Solution

The fourth proportional to 12,227.37, 16,884.12 and 7,759.05 is: 10,714.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.37 : 16,884.12 = 7,759.05 : x
  2. Step 2: Convert to fraction form
    12,227.37/16,884.12 = 7,759.05/x
  3. Step 3: Cross multiply
    12,227.37x = 16,884.12 × 7,759.05
  4. Step 4: Simplify right side
    12,227.37x = 131,004,731.29
  5. Step 5: Solve for x
    x = 131,004,731.29/12,227.37
  6. Step 6: Final answer
    x = 10,714.06

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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.