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Finding the Fourth Proportional to 13,604.49, 18,770.94 and 8,297.37

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Solution

The fourth proportional to 13,604.49, 18,770.94 and 8,297.37 is: 11,448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,604.49 : 18,770.94 = 8,297.37 : x
  2. Step 2: Convert to fraction form
    13,604.49/18,770.94 = 8,297.37/x
  3. Step 3: Cross multiply
    13,604.49x = 18,770.94 × 8,297.37
  4. Step 4: Simplify right side
    13,604.49x = 155,749,434.43
  5. Step 5: Solve for x
    x = 155,749,434.43/13,604.49
  6. Step 6: Final answer
    x = 11,448.38

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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.