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Finding the Fourth Proportional to 17,520.39, 24,178.73 and 9,563.05

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Solution

The fourth proportional to 17,520.39, 24,178.73 and 9,563.05 is: 13,197.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,520.39 : 24,178.73 = 9,563.05 : x
  2. Step 2: Convert to fraction form
    17,520.39/24,178.73 = 9,563.05/x
  3. Step 3: Cross multiply
    17,520.39x = 24,178.73 × 9,563.05
  4. Step 4: Simplify right side
    17,520.39x = 231,222,403.93
  5. Step 5: Solve for x
    x = 231,222,403.93/17,520.39
  6. Step 6: Final answer
    x = 13,197.33

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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.