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Finding the Fourth Proportional to 27,817, 41,732.06 and 9,096.96

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Solution

The fourth proportional to 27,817, 41,732.06 and 9,096.96 is: 13,647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,817 : 41,732.06 = 9,096.96 : x
  2. Step 2: Convert to fraction form
    27,817/41,732.06 = 9,096.96/x
  3. Step 3: Cross multiply
    27,817x = 41,732.06 × 9,096.96
  4. Step 4: Simplify right side
    27,817x = 379,635,007.61
  5. Step 5: Solve for x
    x = 379,635,007.61/27,817
  6. Step 6: Final answer
    x = 13,647.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.