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Finding the Fourth Proportional to 17,682.50, 24,401.85 and 9,725.24

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Solution

The fourth proportional to 17,682.50, 24,401.85 and 9,725.24 is: 13,420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.50 : 24,401.85 = 9,725.24 : x
  2. Step 2: Convert to fraction form
    17,682.50/24,401.85 = 9,725.24/x
  3. Step 3: Cross multiply
    17,682.50x = 24,401.85 × 9,725.24
  4. Step 4: Simplify right side
    17,682.50x = 237,313,847.69
  5. Step 5: Solve for x
    x = 237,313,847.69/17,682.50
  6. Step 6: Final answer
    x = 13,420.83

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