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Finding the Fourth Proportional to 13,192.80, 19,744.40 and 8,002.40

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Solution

The fourth proportional to 13,192.80, 19,744.40 and 8,002.40 is: 11,976.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,192.80 : 19,744.40 = 8,002.40 : x
  2. Step 2: Convert to fraction form
    13,192.80/19,744.40 = 8,002.40/x
  3. Step 3: Cross multiply
    13,192.80x = 19,744.40 × 8,002.40
  4. Step 4: Simplify right side
    13,192.80x = 158,002,586.56
  5. Step 5: Solve for x
    x = 158,002,586.56/13,192.80
  6. Step 6: Final answer
    x = 11,976.43

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1.5x scale

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.