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Finding the Fourth Proportional to 12,441.75, 18,662.70 and 3,207.75

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Solution

The fourth proportional to 12,441.75, 18,662.70 and 3,207.75 is: 4,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,441.75 : 18,662.70 = 3,207.75 : x
  2. Step 2: Convert to fraction form
    12,441.75/18,662.70 = 3,207.75/x
  3. Step 3: Cross multiply
    12,441.75x = 18,662.70 × 3,207.75
  4. Step 4: Simplify right side
    12,441.75x = 59,865,275.93
  5. Step 5: Solve for x
    x = 59,865,275.93/12,441.75
  6. Step 6: Final answer
    x = 4,811.64

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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.