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Finding the Fourth Proportional to 13,138.56, 19,704.96 and 3,906.24

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Solution

The fourth proportional to 13,138.56, 19,704.96 and 3,906.24 is: 5,858.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.56 : 19,704.96 = 3,906.24 : x
  2. Step 2: Convert to fraction form
    13,138.56/19,704.96 = 3,906.24/x
  3. Step 3: Cross multiply
    13,138.56x = 19,704.96 × 3,906.24
  4. Step 4: Simplify right side
    13,138.56x = 76,972,302.95
  5. Step 5: Solve for x
    x = 76,972,302.95/13,138.56
  6. Step 6: Final answer
    x = 5,858.50

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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.