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Finding the Fourth Proportional to 13,104.50, 19,659.78 and 3,744.64

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Solution

The fourth proportional to 13,104.50, 19,659.78 and 3,744.64 is: 5,617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,104.50 : 19,659.78 = 3,744.64 : x
  2. Step 2: Convert to fraction form
    13,104.50/19,659.78 = 3,744.64/x
  3. Step 3: Cross multiply
    13,104.50x = 19,659.78 × 3,744.64
  4. Step 4: Simplify right side
    13,104.50x = 73,618,823.15
  5. Step 5: Solve for x
    x = 73,618,823.15/13,104.50
  6. Step 6: Final answer
    x = 5,617.83

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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.