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Finding the Fourth Proportional to 12,722.54, 17,556.75 and 7,057.26

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Solution

The fourth proportional to 12,722.54, 17,556.75 and 7,057.26 is: 9,738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.54 : 17,556.75 = 7,057.26 : x
  2. Step 2: Convert to fraction form
    12,722.54/17,556.75 = 7,057.26/x
  3. Step 3: Cross multiply
    12,722.54x = 17,556.75 × 7,057.26
  4. Step 4: Simplify right side
    12,722.54x = 123,902,549.51
  5. Step 5: Solve for x
    x = 123,902,549.51/12,722.54
  6. Step 6: Final answer
    x = 9,738.83

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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.