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Finding the Fourth Proportional to 18,033.60, 27,052.56 and 7,644

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Solution

The fourth proportional to 18,033.60, 27,052.56 and 7,644 is: 11,466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,033.60 : 27,052.56 = 7,644 : x
  2. Step 2: Convert to fraction form
    18,033.60/27,052.56 = 7,644/x
  3. Step 3: Cross multiply
    18,033.60x = 27,052.56 × 7,644
  4. Step 4: Simplify right side
    18,033.60x = 206,789,768.64
  5. Step 5: Solve for x
    x = 206,789,768.64/18,033.60
  6. Step 6: Final answer
    x = 11,466.92

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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.