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Finding the Fourth Proportional to 12,676.09, 19,019 and 5,278.56

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Solution

The fourth proportional to 12,676.09, 19,019 and 5,278.56 is: 7,919.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,676.09 : 19,019 = 5,278.56 : x
  2. Step 2: Convert to fraction form
    12,676.09/19,019 = 5,278.56/x
  3. Step 3: Cross multiply
    12,676.09x = 19,019 × 5,278.56
  4. Step 4: Simplify right side
    12,676.09x = 100,392,932.64
  5. Step 5: Solve for x
    x = 100,392,932.64/12,676.09
  6. Step 6: Final answer
    x = 7,919.87

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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.