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Finding the Fourth Proportional to 11,732.44, 17,583.90 and 8,383.24

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Solution

The fourth proportional to 11,732.44, 17,583.90 and 8,383.24 is: 12,564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.44 : 17,583.90 = 8,383.24 : x
  2. Step 2: Convert to fraction form
    11,732.44/17,583.90 = 8,383.24/x
  3. Step 3: Cross multiply
    11,732.44x = 17,583.90 × 8,383.24
  4. Step 4: Simplify right side
    11,732.44x = 147,410,053.84
  5. Step 5: Solve for x
    x = 147,410,053.84/11,732.44
  6. Step 6: Final answer
    x = 12,564.31

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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.