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Finding the Fourth Proportional to 16,906.98, 23,329.77 and 9,351.42

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Solution

The fourth proportional to 16,906.98, 23,329.77 and 9,351.42 is: 12,903.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,906.98 : 23,329.77 = 9,351.42 : x
  2. Step 2: Convert to fraction form
    16,906.98/23,329.77 = 9,351.42/x
  3. Step 3: Cross multiply
    16,906.98x = 23,329.77 × 9,351.42
  4. Step 4: Simplify right side
    16,906.98x = 218,166,477.77
  5. Step 5: Solve for x
    x = 218,166,477.77/16,906.98
  6. Step 6: Final answer
    x = 12,903.93

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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.