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Finding the Fourth Proportional to 17,687.34, 24,408.42 and 9,729.54

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Solution

The fourth proportional to 17,687.34, 24,408.42 and 9,729.54 is: 13,426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.34 : 24,408.42 = 9,729.54 : x
  2. Step 2: Convert to fraction form
    17,687.34/24,408.42 = 9,729.54/x
  3. Step 3: Cross multiply
    17,687.34x = 24,408.42 × 9,729.54
  4. Step 4: Simplify right side
    17,687.34x = 237,482,698.73
  5. Step 5: Solve for x
    x = 237,482,698.73/17,687.34
  6. Step 6: Final answer
    x = 13,426.71

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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.