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Finding the Fourth Proportional to 27,817.65, 41,726.55 and 8,096.67

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Solution

The fourth proportional to 27,817.65, 41,726.55 and 8,096.67 is: 12,145.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,817.65 : 41,726.55 = 8,096.67 : x
  2. Step 2: Convert to fraction form
    27,817.65/41,726.55 = 8,096.67/x
  3. Step 3: Cross multiply
    27,817.65x = 41,726.55 × 8,096.67
  4. Step 4: Simplify right side
    27,817.65x = 337,846,105.59
  5. Step 5: Solve for x
    x = 337,846,105.59/27,817.65
  6. Step 6: Final answer
    x = 12,145.03

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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.