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Finding the Fourth Proportional to 13,832.65, 20,744.17 and 8,559.60

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Solution

The fourth proportional to 13,832.65, 20,744.17 and 8,559.60 is: 12,836.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.65 : 20,744.17 = 8,559.60 : x
  2. Step 2: Convert to fraction form
    13,832.65/20,744.17 = 8,559.60/x
  3. Step 3: Cross multiply
    13,832.65x = 20,744.17 × 8,559.60
  4. Step 4: Simplify right side
    13,832.65x = 177,561,797.53
  5. Step 5: Solve for x
    x = 177,561,797.53/13,832.65
  6. Step 6: Final answer
    x = 12,836.43

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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.