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Finding the Fourth Proportional to 25,815.26, 35,611.94 and 16,868

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Solution

The fourth proportional to 25,815.26, 35,611.94 and 16,868 is: 23,269.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,815.26 : 35,611.94 = 16,868 : x
  2. Step 2: Convert to fraction form
    25,815.26/35,611.94 = 16,868/x
  3. Step 3: Cross multiply
    25,815.26x = 35,611.94 × 16,868
  4. Step 4: Simplify right side
    25,815.26x = 600,702,203.92
  5. Step 5: Solve for x
    x = 600,702,203.92/25,815.26
  6. Step 6: Final answer
    x = 23,269.27

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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.