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Finding the Fourth Proportional to 33,914.20, 50,864.37 and 12,846.98

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Solution

The fourth proportional to 33,914.20, 50,864.37 and 12,846.98 is: 19,267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,914.20 : 50,864.37 = 12,846.98 : x
  2. Step 2: Convert to fraction form
    33,914.20/50,864.37 = 12,846.98/x
  3. Step 3: Cross multiply
    33,914.20x = 50,864.37 × 12,846.98
  4. Step 4: Simplify right side
    33,914.20x = 653,453,409.24
  5. Step 5: Solve for x
    x = 653,453,409.24/33,914.20
  6. Step 6: Final answer
    x = 19,267.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.