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Finding the Fourth Proportional to 13,444.50, 20,166.68 and 3,449.21

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Solution

The fourth proportional to 13,444.50, 20,166.68 and 3,449.21 is: 5,173.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,444.50 : 20,166.68 = 3,449.21 : x
  2. Step 2: Convert to fraction form
    13,444.50/20,166.68 = 3,449.21/x
  3. Step 3: Cross multiply
    13,444.50x = 20,166.68 × 3,449.21
  4. Step 4: Simplify right side
    13,444.50x = 69,558,996.24
  5. Step 5: Solve for x
    x = 69,558,996.24/13,444.50
  6. Step 6: Final answer
    x = 5,173.79

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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.