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Finding the Fourth Proportional to 25,874.34, 38,815.20 and 9,230.86

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Solution

The fourth proportional to 25,874.34, 38,815.20 and 9,230.86 is: 13,847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,874.34 : 38,815.20 = 9,230.86 : x
  2. Step 2: Convert to fraction form
    25,874.34/38,815.20 = 9,230.86/x
  3. Step 3: Cross multiply
    25,874.34x = 38,815.20 × 9,230.86
  4. Step 4: Simplify right side
    25,874.34x = 358,297,725.59
  5. Step 5: Solve for x
    x = 358,297,725.59/25,874.34
  6. Step 6: Final answer
    x = 13,847.61

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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.