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Finding the Fourth Proportional to 27,814.70, 41,709.37 and 12,012.21

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Solution

The fourth proportional to 27,814.70, 41,709.37 and 12,012.21 is: 18,012.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,814.70 : 41,709.37 = 12,012.21 : x
  2. Step 2: Convert to fraction form
    27,814.70/41,709.37 = 12,012.21/x
  3. Step 3: Cross multiply
    27,814.70x = 41,709.37 × 12,012.21
  4. Step 4: Simplify right side
    27,814.70x = 501,021,711.41
  5. Step 5: Solve for x
    x = 501,021,711.41/27,814.70
  6. Step 6: Final answer
    x = 18,012.84

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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.