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Finding the Fourth Proportional to 12,613.50, 18,923.22 and 3,847.86

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Solution

The fourth proportional to 12,613.50, 18,923.22 and 3,847.86 is: 5,772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613.50 : 18,923.22 = 3,847.86 : x
  2. Step 2: Convert to fraction form
    12,613.50/18,923.22 = 3,847.86/x
  3. Step 3: Cross multiply
    12,613.50x = 18,923.22 × 3,847.86
  4. Step 4: Simplify right side
    12,613.50x = 72,813,901.31
  5. Step 5: Solve for x
    x = 72,813,901.31/12,613.50
  6. Step 6: Final answer
    x = 5,772.70

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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.