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Finding the Fourth Proportional to 17,790.32, 24,550.38 and 9,832.37

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Solution

The fourth proportional to 17,790.32, 24,550.38 and 9,832.37 is: 13,568.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,790.32 : 24,550.38 = 9,832.37 : x
  2. Step 2: Convert to fraction form
    17,790.32/24,550.38 = 9,832.37/x
  3. Step 3: Cross multiply
    17,790.32x = 24,550.38 × 9,832.37
  4. Step 4: Simplify right side
    17,790.32x = 241,388,297.05
  5. Step 5: Solve for x
    x = 241,388,297.05/17,790.32
  6. Step 6: Final answer
    x = 13,568.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.