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Finding the Fourth Proportional to 13,914.22, 20,871.34 and 3,525.96

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Solution

The fourth proportional to 13,914.22, 20,871.34 and 3,525.96 is: 5,288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.22 : 20,871.34 = 3,525.96 : x
  2. Step 2: Convert to fraction form
    13,914.22/20,871.34 = 3,525.96/x
  3. Step 3: Cross multiply
    13,914.22x = 20,871.34 × 3,525.96
  4. Step 4: Simplify right side
    13,914.22x = 73,591,509.99
  5. Step 5: Solve for x
    x = 73,591,509.99/13,914.22
  6. Step 6: Final answer
    x = 5,288.94

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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.