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Finding the Fourth Proportional to 27,874.74, 41,824.41 and 11,267.22

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Solution

The fourth proportional to 27,874.74, 41,824.41 and 11,267.22 is: 16,905.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.74 : 41,824.41 = 11,267.22 : x
  2. Step 2: Convert to fraction form
    27,874.74/41,824.41 = 11,267.22/x
  3. Step 3: Cross multiply
    27,874.74x = 41,824.41 × 11,267.22
  4. Step 4: Simplify right side
    27,874.74x = 471,244,828.84
  5. Step 5: Solve for x
    x = 471,244,828.84/27,874.74
  6. Step 6: Final answer
    x = 16,905.80

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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.