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Finding the Fourth Proportional to 17,748.54, 24,493.06 and 9,682.37

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Solution

The fourth proportional to 17,748.54, 24,493.06 and 9,682.37 is: 13,361.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,748.54 : 24,493.06 = 9,682.37 : x
  2. Step 2: Convert to fraction form
    17,748.54/24,493.06 = 9,682.37/x
  3. Step 3: Cross multiply
    17,748.54x = 24,493.06 × 9,682.37
  4. Step 4: Simplify right side
    17,748.54x = 237,150,795.37
  5. Step 5: Solve for x
    x = 237,150,795.37/17,748.54
  6. Step 6: Final answer
    x = 13,361.71

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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.