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Finding the Fourth Proportional to 16,850.16, 23,252.94 and 9,297.24

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Solution

The fourth proportional to 16,850.16, 23,252.94 and 9,297.24 is: 12,830.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,850.16 : 23,252.94 = 9,297.24 : x
  2. Step 2: Convert to fraction form
    16,850.16/23,252.94 = 9,297.24/x
  3. Step 3: Cross multiply
    16,850.16x = 23,252.94 × 9,297.24
  4. Step 4: Simplify right side
    16,850.16x = 216,188,163.89
  5. Step 5: Solve for x
    x = 216,188,163.89/16,850.16
  6. Step 6: Final answer
    x = 12,830.04

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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.