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Finding the Fourth Proportional to 27,568.49, 41,347.27 and 7,847.22

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Solution

The fourth proportional to 27,568.49, 41,347.27 and 7,847.22 is: 11,769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,568.49 : 41,347.27 = 7,847.22 : x
  2. Step 2: Convert to fraction form
    27,568.49/41,347.27 = 7,847.22/x
  3. Step 3: Cross multiply
    27,568.49x = 41,347.27 × 7,847.22
  4. Step 4: Simplify right side
    27,568.49x = 324,461,124.09
  5. Step 5: Solve for x
    x = 324,461,124.09/27,568.49
  6. Step 6: Final answer
    x = 11,769.27

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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.