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Finding the Fourth Proportional to 27,209.56, 40,814.46 and 10,571.40

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Solution

The fourth proportional to 27,209.56, 40,814.46 and 10,571.40 is: 15,857.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,209.56 : 40,814.46 = 10,571.40 : x
  2. Step 2: Convert to fraction form
    27,209.56/40,814.46 = 10,571.40/x
  3. Step 3: Cross multiply
    27,209.56x = 40,814.46 × 10,571.40
  4. Step 4: Simplify right side
    27,209.56x = 431,465,982.44
  5. Step 5: Solve for x
    x = 431,465,982.44/27,209.56
  6. Step 6: Final answer
    x = 15,857.15

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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.