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Finding the Fourth Proportional to 25,878.56, 35,691.84 and 16,794

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Solution

The fourth proportional to 25,878.56, 35,691.84 and 16,794 is: 23,162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,878.56 : 35,691.84 = 16,794 : x
  2. Step 2: Convert to fraction form
    25,878.56/35,691.84 = 16,794/x
  3. Step 3: Cross multiply
    25,878.56x = 35,691.84 × 16,794
  4. Step 4: Simplify right side
    25,878.56x = 599,408,760.96
  5. Step 5: Solve for x
    x = 599,408,760.96/25,878.56
  6. Step 6: Final answer
    x = 23,162.37

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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.