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Finding the Fourth Proportional to 12,794.60, 19,170.30 and 8,409.80

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Solution

The fourth proportional to 12,794.60, 19,170.30 and 8,409.80 is: 12,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.60 : 19,170.30 = 8,409.80 : x
  2. Step 2: Convert to fraction form
    12,794.60/19,170.30 = 8,409.80/x
  3. Step 3: Cross multiply
    12,794.60x = 19,170.30 × 8,409.80
  4. Step 4: Simplify right side
    12,794.60x = 161,218,388.94
  5. Step 5: Solve for x
    x = 161,218,388.94/12,794.60
  6. Step 6: Final answer
    x = 12,600.50

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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.