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Finding the Fourth Proportional to 17,279.70, 25,914.43 and 7,416.63

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Solution

The fourth proportional to 17,279.70, 25,914.43 and 7,416.63 is: 11,122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,279.70 : 25,914.43 = 7,416.63 : x
  2. Step 2: Convert to fraction form
    17,279.70/25,914.43 = 7,416.63/x
  3. Step 3: Cross multiply
    17,279.70x = 25,914.43 × 7,416.63
  4. Step 4: Simplify right side
    17,279.70x = 192,197,748.24
  5. Step 5: Solve for x
    x = 192,197,748.24/17,279.70
  6. Step 6: Final answer
    x = 11,122.75

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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.