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Finding the Fourth Proportional to 12,794.50, 19,190.08 and 4,029.49

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Solution

The fourth proportional to 12,794.50, 19,190.08 and 4,029.49 is: 6,043.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.50 : 19,190.08 = 4,029.49 : x
  2. Step 2: Convert to fraction form
    12,794.50/19,190.08 = 4,029.49/x
  3. Step 3: Cross multiply
    12,794.50x = 19,190.08 × 4,029.49
  4. Step 4: Simplify right side
    12,794.50x = 77,326,235.46
  5. Step 5: Solve for x
    x = 77,326,235.46/12,794.50
  6. Step 6: Final answer
    x = 6,043.71

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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.