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Finding the Fourth Proportional to 19,861.38, 29,785.46 and 8,012.09

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Solution

The fourth proportional to 19,861.38, 29,785.46 and 8,012.09 is: 12,015.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,861.38 : 29,785.46 = 8,012.09 : x
  2. Step 2: Convert to fraction form
    19,861.38/29,785.46 = 8,012.09/x
  3. Step 3: Cross multiply
    19,861.38x = 29,785.46 × 8,012.09
  4. Step 4: Simplify right side
    19,861.38x = 238,643,786.21
  5. Step 5: Solve for x
    x = 238,643,786.21/19,861.38
  6. Step 6: Final answer
    x = 12,015.47

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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.