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Finding the Fourth Proportional to 13,481.29, 18,605.30 and 7,512.14

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Solution

The fourth proportional to 13,481.29, 18,605.30 and 7,512.14 is: 10,367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,481.29 : 18,605.30 = 7,512.14 : x
  2. Step 2: Convert to fraction form
    13,481.29/18,605.30 = 7,512.14/x
  3. Step 3: Cross multiply
    13,481.29x = 18,605.30 × 7,512.14
  4. Step 4: Simplify right side
    13,481.29x = 139,765,627.29
  5. Step 5: Solve for x
    x = 139,765,627.29/13,481.29
  6. Step 6: Final answer
    x = 10,367.38

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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.