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Finding the Fourth Proportional to 19,198.50, 28,794.41 and 5,159.48

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Solution

The fourth proportional to 19,198.50, 28,794.41 and 5,159.48 is: 7,738.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,198.50 : 28,794.41 = 5,159.48 : x
  2. Step 2: Convert to fraction form
    19,198.50/28,794.41 = 5,159.48/x
  3. Step 3: Cross multiply
    19,198.50x = 28,794.41 × 5,159.48
  4. Step 4: Simplify right side
    19,198.50x = 148,564,012.74
  5. Step 5: Solve for x
    x = 148,564,012.74/19,198.50
  6. Step 6: Final answer
    x = 7,738.31

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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.