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Finding the Fourth Proportional to 12,396.39, 17,099.26 and 8,147.67

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Solution

The fourth proportional to 12,396.39, 17,099.26 and 8,147.67 is: 11,238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,396.39 : 17,099.26 = 8,147.67 : x
  2. Step 2: Convert to fraction form
    12,396.39/17,099.26 = 8,147.67/x
  3. Step 3: Cross multiply
    12,396.39x = 17,099.26 × 8,147.67
  4. Step 4: Simplify right side
    12,396.39x = 139,319,127.72
  5. Step 5: Solve for x
    x = 139,319,127.72/12,396.39
  6. Step 6: Final answer
    x = 11,238.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.