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Finding the Fourth Proportional to 12,469.74, 18,706.50 and 3,703.56

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Solution

The fourth proportional to 12,469.74, 18,706.50 and 3,703.56 is: 5,555.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469.74 : 18,706.50 = 3,703.56 : x
  2. Step 2: Convert to fraction form
    12,469.74/18,706.50 = 3,703.56/x
  3. Step 3: Cross multiply
    12,469.74x = 18,706.50 × 3,703.56
  4. Step 4: Simplify right side
    12,469.74x = 69,280,645.14
  5. Step 5: Solve for x
    x = 69,280,645.14/12,469.74
  6. Step 6: Final answer
    x = 5,555.90

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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.