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Finding the Fourth Proportional to 18,364, 27,550.32 and 6,052

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Solution

The fourth proportional to 18,364, 27,550.32 and 6,052 is: 9,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,364 : 27,550.32 = 6,052 : x
  2. Step 2: Convert to fraction form
    18,364/27,550.32 = 6,052/x
  3. Step 3: Cross multiply
    18,364x = 27,550.32 × 6,052
  4. Step 4: Simplify right side
    18,364x = 166,734,536.64
  5. Step 5: Solve for x
    x = 166,734,536.64/18,364
  6. Step 6: Final answer
    x = 9,079.42

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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.