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Finding the Fourth Proportional to 26,727.21, 40,097.30 and 8,007.21

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Solution

The fourth proportional to 26,727.21, 40,097.30 and 8,007.21 is: 12,012.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,727.21 : 40,097.30 = 8,007.21 : x
  2. Step 2: Convert to fraction form
    26,727.21/40,097.30 = 8,007.21/x
  3. Step 3: Cross multiply
    26,727.21x = 40,097.30 × 8,007.21
  4. Step 4: Simplify right side
    26,727.21x = 321,067,461.50
  5. Step 5: Solve for x
    x = 321,067,461.50/26,727.21
  6. Step 6: Final answer
    x = 12,012.76

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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.