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Finding the Fourth Proportional to 23,794.83, 35,697.48 and 9,003.87

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Solution

The fourth proportional to 23,794.83, 35,697.48 and 9,003.87 is: 13,507.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,794.83 : 35,697.48 = 9,003.87 : x
  2. Step 2: Convert to fraction form
    23,794.83/35,697.48 = 9,003.87/x
  3. Step 3: Cross multiply
    23,794.83x = 35,697.48 × 9,003.87
  4. Step 4: Simplify right side
    23,794.83x = 321,415,469.25
  5. Step 5: Solve for x
    x = 321,415,469.25/23,794.83
  6. Step 6: Final answer
    x = 13,507.79

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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.