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Finding the Fourth Proportional to 12,819.84, 17,691.81 and 7,441.88

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Solution

The fourth proportional to 12,819.84, 17,691.81 and 7,441.88 is: 10,270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,819.84 : 17,691.81 = 7,441.88 : x
  2. Step 2: Convert to fraction form
    12,819.84/17,691.81 = 7,441.88/x
  3. Step 3: Cross multiply
    12,819.84x = 17,691.81 × 7,441.88
  4. Step 4: Simplify right side
    12,819.84x = 131,660,238.54
  5. Step 5: Solve for x
    x = 131,660,238.54/12,819.84
  6. Step 6: Final answer
    x = 10,270.04

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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.