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Finding the Fourth Proportional to 27,491.13, 41,233.05 and 7,771.23

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Solution

The fourth proportional to 27,491.13, 41,233.05 and 7,771.23 is: 11,655.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,491.13 : 41,233.05 = 7,771.23 : x
  2. Step 2: Convert to fraction form
    27,491.13/41,233.05 = 7,771.23/x
  3. Step 3: Cross multiply
    27,491.13x = 41,233.05 × 7,771.23
  4. Step 4: Simplify right side
    27,491.13x = 320,431,515.15
  5. Step 5: Solve for x
    x = 320,431,515.15/27,491.13
  6. Step 6: Final answer
    x = 11,655.81

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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.