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Finding the Fourth Proportional to 16,369.82, 24,517.36 and 9,782.49

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Solution

The fourth proportional to 16,369.82, 24,517.36 and 9,782.49 is: 14,651.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,369.82 : 24,517.36 = 9,782.49 : x
  2. Step 2: Convert to fraction form
    16,369.82/24,517.36 = 9,782.49/x
  3. Step 3: Cross multiply
    16,369.82x = 24,517.36 × 9,782.49
  4. Step 4: Simplify right side
    16,369.82x = 239,840,829.03
  5. Step 5: Solve for x
    x = 239,840,829.03/16,369.82
  6. Step 6: Final answer
    x = 14,651.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.