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Finding the Fourth Proportional to 27,814.64, 41,722.04 and 8,093.67

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Solution

The fourth proportional to 27,814.64, 41,722.04 and 8,093.67 is: 12,140.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,814.64 : 41,722.04 = 8,093.67 : x
  2. Step 2: Convert to fraction form
    27,814.64/41,722.04 = 8,093.67/x
  3. Step 3: Cross multiply
    27,814.64x = 41,722.04 × 8,093.67
  4. Step 4: Simplify right side
    27,814.64x = 337,684,476.42
  5. Step 5: Solve for x
    x = 337,684,476.42/27,814.64
  6. Step 6: Final answer
    x = 12,140.53

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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.