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Finding the Fourth Proportional to 12,722.19, 17,556.74 and 7,057.00

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Solution

The fourth proportional to 12,722.19, 17,556.74 and 7,057.00 is: 9,738.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.19 : 17,556.74 = 7,057.00 : x
  2. Step 2: Convert to fraction form
    12,722.19/17,556.74 = 7,057.00/x
  3. Step 3: Cross multiply
    12,722.19x = 17,556.74 × 7,057.00
  4. Step 4: Simplify right side
    12,722.19x = 123,898,001.43
  5. Step 5: Solve for x
    x = 123,898,001.43/12,722.19
  6. Step 6: Final answer
    x = 9,738.73

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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.