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Finding the Fourth Proportional to 17,520.83, 24,178.88 and 9,563.27

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Solution

The fourth proportional to 17,520.83, 24,178.88 and 9,563.27 is: 13,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,520.83 : 24,178.88 = 9,563.27 : x
  2. Step 2: Convert to fraction form
    17,520.83/24,178.88 = 9,563.27/x
  3. Step 3: Cross multiply
    17,520.83x = 24,178.88 × 9,563.27
  4. Step 4: Simplify right side
    17,520.83x = 231,229,033.85
  5. Step 5: Solve for x
    x = 231,229,033.85/17,520.83
  6. Step 6: Final answer
    x = 13,197.38

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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.