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Finding the Fourth Proportional to 18,297.76, 27,444.48 and 7,204

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Solution

The fourth proportional to 18,297.76, 27,444.48 and 7,204 is: 10,805.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,297.76 : 27,444.48 = 7,204 : x
  2. Step 2: Convert to fraction form
    18,297.76/27,444.48 = 7,204/x
  3. Step 3: Cross multiply
    18,297.76x = 27,444.48 × 7,204
  4. Step 4: Simplify right side
    18,297.76x = 197,710,033.92
  5. Step 5: Solve for x
    x = 197,710,033.92/18,297.76
  6. Step 6: Final answer
    x = 10,805.15

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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.