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Finding the Fourth Proportional to 23,747.60, 35,622.02 and 8,165.12

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Solution

The fourth proportional to 23,747.60, 35,622.02 and 8,165.12 is: 12,247.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,747.60 : 35,622.02 = 8,165.12 : x
  2. Step 2: Convert to fraction form
    23,747.60/35,622.02 = 8,165.12/x
  3. Step 3: Cross multiply
    23,747.60x = 35,622.02 × 8,165.12
  4. Step 4: Simplify right side
    23,747.60x = 290,858,067.94
  5. Step 5: Solve for x
    x = 290,858,067.94/23,747.60
  6. Step 6: Final answer
    x = 12,247.89

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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.