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Finding the Fourth Proportional to 16,906.80, 23,330.82 and 9,353.84

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Solution

The fourth proportional to 16,906.80, 23,330.82 and 9,353.84 is: 12,907.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,906.80 : 23,330.82 = 9,353.84 : x
  2. Step 2: Convert to fraction form
    16,906.80/23,330.82 = 9,353.84/x
  3. Step 3: Cross multiply
    16,906.80x = 23,330.82 × 9,353.84
  4. Step 4: Simplify right side
    16,906.80x = 218,232,757.35
  5. Step 5: Solve for x
    x = 218,232,757.35/16,906.80
  6. Step 6: Final answer
    x = 12,907.99

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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.