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Finding the Fourth Proportional to 26,807.52, 40,224.69 and 12,027

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Solution

The fourth proportional to 26,807.52, 40,224.69 and 12,027 is: 18,046.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,807.52 : 40,224.69 = 12,027 : x
  2. Step 2: Convert to fraction form
    26,807.52/40,224.69 = 12,027/x
  3. Step 3: Cross multiply
    26,807.52x = 40,224.69 × 12,027
  4. Step 4: Simplify right side
    26,807.52x = 483,782,346.63
  5. Step 5: Solve for x
    x = 483,782,346.63/26,807.52
  6. Step 6: Final answer
    x = 18,046.52

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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.