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Finding the Fourth Proportional to 16,000.20, 23,998.61 and 4,906.94

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Solution

The fourth proportional to 16,000.20, 23,998.61 and 4,906.94 is: 7,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.20 : 23,998.61 = 4,906.94 : x
  2. Step 2: Convert to fraction form
    16,000.20/23,998.61 = 4,906.94/x
  3. Step 3: Cross multiply
    16,000.20x = 23,998.61 × 4,906.94
  4. Step 4: Simplify right side
    16,000.20x = 117,759,631.63
  5. Step 5: Solve for x
    x = 117,759,631.63/16,000.20
  6. Step 6: Final answer
    x = 7,359.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.