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Finding the Fourth Proportional to 12,427, 17,149.38 and 6,838.12

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Solution

The fourth proportional to 12,427, 17,149.38 and 6,838.12 is: 9,436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427 : 17,149.38 = 6,838.12 : x
  2. Step 2: Convert to fraction form
    12,427/17,149.38 = 6,838.12/x
  3. Step 3: Cross multiply
    12,427x = 17,149.38 × 6,838.12
  4. Step 4: Simplify right side
    12,427x = 117,269,518.37
  5. Step 5: Solve for x
    x = 117,269,518.37/12,427
  6. Step 6: Final answer
    x = 9,436.67

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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.