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Finding the Fourth Proportional to 11,912.72, 17,839.80 and 9,819.92

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Solution

The fourth proportional to 11,912.72, 17,839.80 and 9,819.92 is: 14,705.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.72 : 17,839.80 = 9,819.92 : x
  2. Step 2: Convert to fraction form
    11,912.72/17,839.80 = 9,819.92/x
  3. Step 3: Cross multiply
    11,912.72x = 17,839.80 × 9,819.92
  4. Step 4: Simplify right side
    11,912.72x = 175,185,408.82
  5. Step 5: Solve for x
    x = 175,185,408.82/11,912.72
  6. Step 6: Final answer
    x = 14,705.74

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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.