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Finding the Fourth Proportional to 24,625.86, 36,939 and 6,157.86

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Solution

The fourth proportional to 24,625.86, 36,939 and 6,157.86 is: 9,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,625.86 : 36,939 = 6,157.86 : x
  2. Step 2: Convert to fraction form
    24,625.86/36,939 = 6,157.86/x
  3. Step 3: Cross multiply
    24,625.86x = 36,939 × 6,157.86
  4. Step 4: Simplify right side
    24,625.86x = 227,465,190.54
  5. Step 5: Solve for x
    x = 227,465,190.54/24,625.86
  6. Step 6: Final answer
    x = 9,236.84

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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.