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Finding the Fourth Proportional to 17,820.38, 24,593.26 and 10,266.57

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Solution

The fourth proportional to 17,820.38, 24,593.26 and 10,266.57 is: 14,168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,820.38 : 24,593.26 = 10,266.57 : x
  2. Step 2: Convert to fraction form
    17,820.38/24,593.26 = 10,266.57/x
  3. Step 3: Cross multiply
    17,820.38x = 24,593.26 × 10,266.57
  4. Step 4: Simplify right side
    17,820.38x = 252,488,450.98
  5. Step 5: Solve for x
    x = 252,488,450.98/17,820.38
  6. Step 6: Final answer
    x = 14,168.52

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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.