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Finding the Fourth Proportional to 27,847.85, 41,771.08 and 8,126.57

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Solution

The fourth proportional to 27,847.85, 41,771.08 and 8,126.57 is: 12,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,847.85 : 41,771.08 = 8,126.57 : x
  2. Step 2: Convert to fraction form
    27,847.85/41,771.08 = 8,126.57/x
  3. Step 3: Cross multiply
    27,847.85x = 41,771.08 × 8,126.57
  4. Step 4: Simplify right side
    27,847.85x = 339,455,674.47
  5. Step 5: Solve for x
    x = 339,455,674.47/27,847.85
  6. Step 6: Final answer
    x = 12,189.66

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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.