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Finding the Fourth Proportional to 26,732.02, 40,104.86 and 8,012

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Solution

The fourth proportional to 26,732.02, 40,104.86 and 8,012 is: 12,020.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,732.02 : 40,104.86 = 8,012 : x
  2. Step 2: Convert to fraction form
    26,732.02/40,104.86 = 8,012/x
  3. Step 3: Cross multiply
    26,732.02x = 40,104.86 × 8,012
  4. Step 4: Simplify right side
    26,732.02x = 321,320,138.32
  5. Step 5: Solve for x
    x = 321,320,138.32/26,732.02
  6. Step 6: Final answer
    x = 12,020.05

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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.