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Finding the Fourth Proportional to 27,912.48, 41,874.48 and 9,444

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Solution

The fourth proportional to 27,912.48, 41,874.48 and 9,444 is: 14,167.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,912.48 : 41,874.48 = 9,444 : x
  2. Step 2: Convert to fraction form
    27,912.48/41,874.48 = 9,444/x
  3. Step 3: Cross multiply
    27,912.48x = 41,874.48 × 9,444
  4. Step 4: Simplify right side
    27,912.48x = 395,462,589.12
  5. Step 5: Solve for x
    x = 395,462,589.12/27,912.48
  6. Step 6: Final answer
    x = 14,167.95

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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.