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Finding the Fourth Proportional to 27,982.67, 41,974.00 and 9,257.67

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Solution

The fourth proportional to 27,982.67, 41,974.00 and 9,257.67 is: 13,886.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,982.67 : 41,974.00 = 9,257.67 : x
  2. Step 2: Convert to fraction form
    27,982.67/41,974.00 = 9,257.67/x
  3. Step 3: Cross multiply
    27,982.67x = 41,974.00 × 9,257.67
  4. Step 4: Simplify right side
    27,982.67x = 388,581,565.00
  5. Step 5: Solve for x
    x = 388,581,565.00/27,982.67
  6. Step 6: Final answer
    x = 13,886.51

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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.