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Finding the Fourth Proportional to 16,504, 24,759.24 and 7,270

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Solution

The fourth proportional to 16,504, 24,759.24 and 7,270 is: 10,906.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,504 : 24,759.24 = 7,270 : x
  2. Step 2: Convert to fraction form
    16,504/24,759.24 = 7,270/x
  3. Step 3: Cross multiply
    16,504x = 24,759.24 × 7,270
  4. Step 4: Simplify right side
    16,504x = 179,999,674.80
  5. Step 5: Solve for x
    x = 179,999,674.80/16,504
  6. Step 6: Final answer
    x = 10,906.43

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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.