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Finding the Fourth Proportional to 27,686, 41,546.28 and 11,270

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Solution

The fourth proportional to 27,686, 41,546.28 and 11,270 is: 16,912.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,686 : 41,546.28 = 11,270 : x
  2. Step 2: Convert to fraction form
    27,686/41,546.28 = 11,270/x
  3. Step 3: Cross multiply
    27,686x = 41,546.28 × 11,270
  4. Step 4: Simplify right side
    27,686x = 468,226,575.60
  5. Step 5: Solve for x
    x = 468,226,575.60/27,686
  6. Step 6: Final answer
    x = 16,912.03

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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.