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Finding the Fourth Proportional to 27,486.64, 41,202.26 and 10,840.24

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Solution

The fourth proportional to 27,486.64, 41,202.26 and 10,840.24 is: 16,249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,486.64 : 41,202.26 = 10,840.24 : x
  2. Step 2: Convert to fraction form
    27,486.64/41,202.26 = 10,840.24/x
  3. Step 3: Cross multiply
    27,486.64x = 41,202.26 × 10,840.24
  4. Step 4: Simplify right side
    27,486.64x = 446,642,126.73
  5. Step 5: Solve for x
    x = 446,642,126.73/27,486.64
  6. Step 6: Final answer
    x = 16,249.43

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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.