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Finding the Fourth Proportional to 19,376.28, 29,067.36 and 8,283

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Solution

The fourth proportional to 19,376.28, 29,067.36 and 8,283 is: 12,425.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,376.28 : 29,067.36 = 8,283 : x
  2. Step 2: Convert to fraction form
    19,376.28/29,067.36 = 8,283/x
  3. Step 3: Cross multiply
    19,376.28x = 29,067.36 × 8,283
  4. Step 4: Simplify right side
    19,376.28x = 240,764,942.88
  5. Step 5: Solve for x
    x = 240,764,942.88/19,376.28
  6. Step 6: Final answer
    x = 12,425.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.