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Finding the Fourth Proportional to 13,157, 19,745.22 and 6,231.50

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Solution

The fourth proportional to 13,157, 19,745.22 and 6,231.50 is: 9,351.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157 : 19,745.22 = 6,231.50 : x
  2. Step 2: Convert to fraction form
    13,157/19,745.22 = 6,231.50/x
  3. Step 3: Cross multiply
    13,157x = 19,745.22 × 6,231.50
  4. Step 4: Simplify right side
    13,157x = 123,042,338.43
  5. Step 5: Solve for x
    x = 123,042,338.43/13,157
  6. Step 6: Final answer
    x = 9,351.85

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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.