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Finding the Fourth Proportional to 17,157.60, 25,738.02 and 7,296.66

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Solution

The fourth proportional to 17,157.60, 25,738.02 and 7,296.66 is: 10,945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,157.60 : 25,738.02 = 7,296.66 : x
  2. Step 2: Convert to fraction form
    17,157.60/25,738.02 = 7,296.66/x
  3. Step 3: Cross multiply
    17,157.60x = 25,738.02 × 7,296.66
  4. Step 4: Simplify right side
    17,157.60x = 187,801,581.01
  5. Step 5: Solve for x
    x = 187,801,581.01/17,157.60
  6. Step 6: Final answer
    x = 10,945.68

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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.