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Finding the Fourth Proportional to 17,956.89, 26,923.66 and 7,424.09

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Solution

The fourth proportional to 17,956.89, 26,923.66 and 7,424.09 is: 11,131.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,956.89 : 26,923.66 = 7,424.09 : x
  2. Step 2: Convert to fraction form
    17,956.89/26,923.66 = 7,424.09/x
  3. Step 3: Cross multiply
    17,956.89x = 26,923.66 × 7,424.09
  4. Step 4: Simplify right side
    17,956.89x = 199,883,571.70
  5. Step 5: Solve for x
    x = 199,883,571.70/17,956.89
  6. Step 6: Final answer
    x = 11,131.30

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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.