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Finding the Fourth Proportional to 19,843.28, 29,765.82 and 6,695.76

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Solution

The fourth proportional to 19,843.28, 29,765.82 and 6,695.76 is: 10,043.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,843.28 : 29,765.82 = 6,695.76 : x
  2. Step 2: Convert to fraction form
    19,843.28/29,765.82 = 6,695.76/x
  3. Step 3: Cross multiply
    19,843.28x = 29,765.82 × 6,695.76
  4. Step 4: Simplify right side
    19,843.28x = 199,304,786.92
  5. Step 5: Solve for x
    x = 199,304,786.92/19,843.28
  6. Step 6: Final answer
    x = 10,043.95

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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.