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Finding the Fourth Proportional to 24,671.00, 36,997.89 and 8,027.93

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Solution

The fourth proportional to 24,671.00, 36,997.89 and 8,027.93 is: 12,039.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,671.00 : 36,997.89 = 8,027.93 : x
  2. Step 2: Convert to fraction form
    24,671.00/36,997.89 = 8,027.93/x
  3. Step 3: Cross multiply
    24,671.00x = 36,997.89 × 8,027.93
  4. Step 4: Simplify right side
    24,671.00x = 297,016,286.08
  5. Step 5: Solve for x
    x = 297,016,286.08/24,671.00
  6. Step 6: Final answer
    x = 12,039.09

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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.