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Finding the Fourth Proportional to 21,910.50, 30,236.49 and 11,974.50

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Solution

The fourth proportional to 21,910.50, 30,236.49 and 11,974.50 is: 16,524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,910.50 : 30,236.49 = 11,974.50 : x
  2. Step 2: Convert to fraction form
    21,910.50/30,236.49 = 11,974.50/x
  3. Step 3: Cross multiply
    21,910.50x = 30,236.49 × 11,974.50
  4. Step 4: Simplify right side
    21,910.50x = 362,066,849.51
  5. Step 5: Solve for x
    x = 362,066,849.51/21,910.50
  6. Step 6: Final answer
    x = 16,524.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.