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Finding the Fourth Proportional to 27,417, 41,131.26 and 11,001

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Solution

The fourth proportional to 27,417, 41,131.26 and 11,001 is: 16,503.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,417 : 41,131.26 = 11,001 : x
  2. Step 2: Convert to fraction form
    27,417/41,131.26 = 11,001/x
  3. Step 3: Cross multiply
    27,417x = 41,131.26 × 11,001
  4. Step 4: Simplify right side
    27,417x = 452,484,991.26
  5. Step 5: Solve for x
    x = 452,484,991.26/27,417
  6. Step 6: Final answer
    x = 16,503.81

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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.