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Finding the Fourth Proportional to 17,520.37, 24,178.63 and 9,563.11

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Solution

The fourth proportional to 17,520.37, 24,178.63 and 9,563.11 is: 13,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,520.37 : 24,178.63 = 9,563.11 : x
  2. Step 2: Convert to fraction form
    17,520.37/24,178.63 = 9,563.11/x
  3. Step 3: Cross multiply
    17,520.37x = 24,178.63 × 9,563.11
  4. Step 4: Simplify right side
    17,520.37x = 231,222,898.34
  5. Step 5: Solve for x
    x = 231,222,898.34/17,520.37
  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.