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Finding the Fourth Proportional to 17,175.30, 25,738.65 and 10,581.90

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Solution

The fourth proportional to 17,175.30, 25,738.65 and 10,581.90 is: 15,857.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,175.30 : 25,738.65 = 10,581.90 : x
  2. Step 2: Convert to fraction form
    17,175.30/25,738.65 = 10,581.90/x
  3. Step 3: Cross multiply
    17,175.30x = 25,738.65 × 10,581.90
  4. Step 4: Simplify right side
    17,175.30x = 272,363,820.44
  5. Step 5: Solve for x
    x = 272,363,820.44/17,175.30
  6. Step 6: Final answer
    x = 15,857.88

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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.