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Finding the Fourth Proportional to 22,536, 33,796.81 and 7,741.35

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Solution

The fourth proportional to 22,536, 33,796.81 and 7,741.35 is: 11,609.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,536 : 33,796.81 = 7,741.35 : x
  2. Step 2: Convert to fraction form
    22,536/33,796.81 = 7,741.35/x
  3. Step 3: Cross multiply
    22,536x = 33,796.81 × 7,741.35
  4. Step 4: Simplify right side
    22,536x = 261,632,935.09
  5. Step 5: Solve for x
    x = 261,632,935.09/22,536
  6. Step 6: Final answer
    x = 11,609.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.