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Finding the Fourth Proportional to 23,845.23, 35,774.21 and 8,262.86

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Solution

The fourth proportional to 23,845.23, 35,774.21 and 8,262.86 is: 12,396.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,845.23 : 35,774.21 = 8,262.86 : x
  2. Step 2: Convert to fraction form
    23,845.23/35,774.21 = 8,262.86/x
  3. Step 3: Cross multiply
    23,845.23x = 35,774.21 × 8,262.86
  4. Step 4: Simplify right side
    23,845.23x = 295,597,130.63
  5. Step 5: Solve for x
    x = 295,597,130.63/23,845.23
  6. Step 6: Final answer
    x = 12,396.49

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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.