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Finding the Fourth Proportional to 26,473, 39,710.46 and 8,005

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Solution

The fourth proportional to 26,473, 39,710.46 and 8,005 is: 12,007.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,473 : 39,710.46 = 8,005 : x
  2. Step 2: Convert to fraction form
    26,473/39,710.46 = 8,005/x
  3. Step 3: Cross multiply
    26,473x = 39,710.46 × 8,005
  4. Step 4: Simplify right side
    26,473x = 317,882,232.30
  5. Step 5: Solve for x
    x = 317,882,232.30/26,473
  6. Step 6: Final answer
    x = 12,007.79

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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.