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Finding the Fourth Proportional to 18,529.92, 27,805.74 and 6,851.28

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Solution

The fourth proportional to 18,529.92, 27,805.74 and 6,851.28 is: 10,280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,529.92 : 27,805.74 = 6,851.28 : x
  2. Step 2: Convert to fraction form
    18,529.92/27,805.74 = 6,851.28/x
  3. Step 3: Cross multiply
    18,529.92x = 27,805.74 × 6,851.28
  4. Step 4: Simplify right side
    18,529.92x = 190,504,910.35
  5. Step 5: Solve for x
    x = 190,504,910.35/18,529.92
  6. Step 6: Final answer
    x = 10,280.94

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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.