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Finding the Fourth Proportional to 16,469.40, 24,704.94 and 9,447.54

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Solution

The fourth proportional to 16,469.40, 24,704.94 and 9,447.54 is: 14,171.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,469.40 : 24,704.94 = 9,447.54 : x
  2. Step 2: Convert to fraction form
    16,469.40/24,704.94 = 9,447.54/x
  3. Step 3: Cross multiply
    16,469.40x = 24,704.94 × 9,447.54
  4. Step 4: Simplify right side
    16,469.40x = 233,400,908.85
  5. Step 5: Solve for x
    x = 233,400,908.85/16,469.40
  6. Step 6: Final answer
    x = 14,171.79

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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.