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Finding the Fourth Proportional to 13,760.40, 20,616.30 and 12,205.20

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Solution

The fourth proportional to 13,760.40, 20,616.30 and 12,205.20 is: 18,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.40 : 20,616.30 = 12,205.20 : x
  2. Step 2: Convert to fraction form
    13,760.40/20,616.30 = 12,205.20/x
  3. Step 3: Cross multiply
    13,760.40x = 20,616.30 × 12,205.20
  4. Step 4: Simplify right side
    13,760.40x = 251,626,064.76
  5. Step 5: Solve for x
    x = 251,626,064.76/13,760.40
  6. Step 6: Final answer
    x = 18,286.25

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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.