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Finding the Fourth Proportional to 27,729.54, 41,610.78 and 10,211.67

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Solution

The fourth proportional to 27,729.54, 41,610.78 and 10,211.67 is: 15,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,729.54 : 41,610.78 = 10,211.67 : x
  2. Step 2: Convert to fraction form
    27,729.54/41,610.78 = 10,211.67/x
  3. Step 3: Cross multiply
    27,729.54x = 41,610.78 × 10,211.67
  4. Step 4: Simplify right side
    27,729.54x = 424,915,553.80
  5. Step 5: Solve for x
    x = 424,915,553.80/27,729.54
  6. Step 6: Final answer
    x = 15,323.57

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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.