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Finding the Fourth Proportional to 19,694.92, 27,179.07 and 10,742.61

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Solution

The fourth proportional to 19,694.92, 27,179.07 and 10,742.61 is: 14,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.92 : 27,179.07 = 10,742.61 : x
  2. Step 2: Convert to fraction form
    19,694.92/27,179.07 = 10,742.61/x
  3. Step 3: Cross multiply
    19,694.92x = 27,179.07 × 10,742.61
  4. Step 4: Simplify right side
    19,694.92x = 291,974,219.80
  5. Step 5: Solve for x
    x = 291,974,219.80/19,694.92
  6. Step 6: Final answer
    x = 14,824.85

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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.