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Finding the Fourth Proportional to 27,462.70, 41,194.05 and 12,667.24

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Solution

The fourth proportional to 27,462.70, 41,194.05 and 12,667.24 is: 19,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,462.70 : 41,194.05 = 12,667.24 : x
  2. Step 2: Convert to fraction form
    27,462.70/41,194.05 = 12,667.24/x
  3. Step 3: Cross multiply
    27,462.70x = 41,194.05 × 12,667.24
  4. Step 4: Simplify right side
    27,462.70x = 521,814,917.92
  5. Step 5: Solve for x
    x = 521,814,917.92/27,462.70
  6. Step 6: Final answer
    x = 19,000.86

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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.