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Finding the Fourth Proportional to 30,974.73, 42,745.08 and 16,827.60

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Solution

The fourth proportional to 30,974.73, 42,745.08 and 16,827.60 is: 23,222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,974.73 : 42,745.08 = 16,827.60 : x
  2. Step 2: Convert to fraction form
    30,974.73/42,745.08 = 16,827.60/x
  3. Step 3: Cross multiply
    30,974.73x = 42,745.08 × 16,827.60
  4. Step 4: Simplify right side
    30,974.73x = 719,297,108.21
  5. Step 5: Solve for x
    x = 719,297,108.21/30,974.73
  6. Step 6: Final answer
    x = 23,222.06

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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.