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Finding the Fourth Proportional to 19,806.40, 29,713.20 and 8,120.80

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Solution

The fourth proportional to 19,806.40, 29,713.20 and 8,120.80 is: 12,182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806.40 : 29,713.20 = 8,120.80 : x
  2. Step 2: Convert to fraction form
    19,806.40/29,713.20 = 8,120.80/x
  3. Step 3: Cross multiply
    19,806.40x = 29,713.20 × 8,120.80
  4. Step 4: Simplify right side
    19,806.40x = 241,294,954.56
  5. Step 5: Solve for x
    x = 241,294,954.56/19,806.40
  6. Step 6: Final answer
    x = 12,182.68

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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.