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Finding the Fourth Proportional to 25,590.25, 38,380.08 and 6,865.85

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Solution

The fourth proportional to 25,590.25, 38,380.08 and 6,865.85 is: 10,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,590.25 : 38,380.08 = 6,865.85 : x
  2. Step 2: Convert to fraction form
    25,590.25/38,380.08 = 6,865.85/x
  3. Step 3: Cross multiply
    25,590.25x = 38,380.08 × 6,865.85
  4. Step 4: Simplify right side
    25,590.25x = 263,511,872.27
  5. Step 5: Solve for x
    x = 263,511,872.27/25,590.25
  6. Step 6: Final answer
    x = 10,297.35

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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.