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Finding the Fourth Proportional to 13,328, 18,394.26 and 7,739

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Solution

The fourth proportional to 13,328, 18,394.26 and 7,739 is: 10,680.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,328 : 18,394.26 = 7,739 : x
  2. Step 2: Convert to fraction form
    13,328/18,394.26 = 7,739/x
  3. Step 3: Cross multiply
    13,328x = 18,394.26 × 7,739
  4. Step 4: Simplify right side
    13,328x = 142,353,178.14
  5. Step 5: Solve for x
    x = 142,353,178.14/13,328
  6. Step 6: Final answer
    x = 10,680.76

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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.