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Finding the Fourth Proportional to 13,157.44, 19,736.46 and 5,366.25

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Solution

The fourth proportional to 13,157.44, 19,736.46 and 5,366.25 is: 8,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.44 : 19,736.46 = 5,366.25 : x
  2. Step 2: Convert to fraction form
    13,157.44/19,736.46 = 5,366.25/x
  3. Step 3: Cross multiply
    13,157.44x = 19,736.46 × 5,366.25
  4. Step 4: Simplify right side
    13,157.44x = 105,910,778.48
  5. Step 5: Solve for x
    x = 105,910,778.48/13,157.44
  6. Step 6: Final answer
    x = 8,049.50

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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.