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Finding the Fourth Proportional to 16,951.86, 23,391.05 and 9,683.42

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Solution

The fourth proportional to 16,951.86, 23,391.05 and 9,683.42 is: 13,361.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,951.86 : 23,391.05 = 9,683.42 : x
  2. Step 2: Convert to fraction form
    16,951.86/23,391.05 = 9,683.42/x
  3. Step 3: Cross multiply
    16,951.86x = 23,391.05 × 9,683.42
  4. Step 4: Simplify right side
    16,951.86x = 226,505,361.39
  5. Step 5: Solve for x
    x = 226,505,361.39/16,951.86
  6. Step 6: Final answer
    x = 13,361.68

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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.