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Finding the Fourth Proportional to 12,768.50, 19,152.83 and 4,448.67

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Solution

The fourth proportional to 12,768.50, 19,152.83 and 4,448.67 is: 6,673.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.50 : 19,152.83 = 4,448.67 : x
  2. Step 2: Convert to fraction form
    12,768.50/19,152.83 = 4,448.67/x
  3. Step 3: Cross multiply
    12,768.50x = 19,152.83 × 4,448.67
  4. Step 4: Simplify right side
    12,768.50x = 85,204,667.27
  5. Step 5: Solve for x
    x = 85,204,667.27/12,768.50
  6. Step 6: Final answer
    x = 6,673.04

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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.