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Finding the Fourth Proportional to 27,811, 41,716.50 and 9,343

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Solution

The fourth proportional to 27,811, 41,716.50 and 9,343 is: 14,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,811 : 41,716.50 = 9,343 : x
  2. Step 2: Convert to fraction form
    27,811/41,716.50 = 9,343/x
  3. Step 3: Cross multiply
    27,811x = 41,716.50 × 9,343
  4. Step 4: Simplify right side
    27,811x = 389,757,259.50
  5. Step 5: Solve for x
    x = 389,757,259.50/27,811
  6. Step 6: Final answer
    x = 14,014.50

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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.