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Finding the Fourth Proportional to 13,764.80, 20,622.90 and 11,286.20

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Solution

The fourth proportional to 13,764.80, 20,622.90 and 11,286.20 is: 16,909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764.80 : 20,622.90 = 11,286.20 : x
  2. Step 2: Convert to fraction form
    13,764.80/20,622.90 = 11,286.20/x
  3. Step 3: Cross multiply
    13,764.80x = 20,622.90 × 11,286.20
  4. Step 4: Simplify right side
    13,764.80x = 232,754,173.98
  5. Step 5: Solve for x
    x = 232,754,173.98/13,764.80
  6. Step 6: Final answer
    x = 16,909.38

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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.