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Finding the Fourth Proportional to 27,847.12, 41,773.74 and 8,128.90

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Solution

The fourth proportional to 27,847.12, 41,773.74 and 8,128.90 is: 12,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,847.12 : 41,773.74 = 8,128.90 : x
  2. Step 2: Convert to fraction form
    27,847.12/41,773.74 = 8,128.90/x
  3. Step 3: Cross multiply
    27,847.12x = 41,773.74 × 8,128.90
  4. Step 4: Simplify right side
    27,847.12x = 339,574,555.09
  5. Step 5: Solve for x
    x = 339,574,555.09/27,847.12
  6. Step 6: Final answer
    x = 12,194.24

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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.