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Finding the Fourth Proportional to 13,858.56, 20,786.22 and 3,469.50

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Solution

The fourth proportional to 13,858.56, 20,786.22 and 3,469.50 is: 5,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.56 : 20,786.22 = 3,469.50 : x
  2. Step 2: Convert to fraction form
    13,858.56/20,786.22 = 3,469.50/x
  3. Step 3: Cross multiply
    13,858.56x = 20,786.22 × 3,469.50
  4. Step 4: Simplify right side
    13,858.56x = 72,117,790.29
  5. Step 5: Solve for x
    x = 72,117,790.29/13,858.56
  6. Step 6: Final answer
    x = 5,203.84

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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.