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Finding the Fourth Proportional to 12,722.50, 17,555.20 and 7,057.27

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Solution

The fourth proportional to 12,722.50, 17,555.20 and 7,057.27 is: 9,738.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.50 : 17,555.20 = 7,057.27 : x
  2. Step 2: Convert to fraction form
    12,722.50/17,555.20 = 7,057.27/x
  3. Step 3: Cross multiply
    12,722.50x = 17,555.20 × 7,057.27
  4. Step 4: Simplify right side
    12,722.50x = 123,891,786.30
  5. Step 5: Solve for x
    x = 123,891,786.30/12,722.50
  6. Step 6: Final answer
    x = 9,738.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.