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Finding the Fourth Proportional to 27,817.89, 41,726.92 and 8,096.93

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Solution

The fourth proportional to 27,817.89, 41,726.92 and 8,096.93 is: 12,145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,817.89 : 41,726.92 = 8,096.93 : x
  2. Step 2: Convert to fraction form
    27,817.89/41,726.92 = 8,096.93/x
  3. Step 3: Cross multiply
    27,817.89x = 41,726.92 × 8,096.93
  4. Step 4: Simplify right side
    27,817.89x = 337,859,950.36
  5. Step 5: Solve for x
    x = 337,859,950.36/27,817.89
  6. Step 6: Final answer
    x = 12,145.42

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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.