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Finding the Fourth Proportional to 16,004.30, 23,999.97 and 5,614.70

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Solution

The fourth proportional to 16,004.30, 23,999.97 and 5,614.70 is: 8,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,004.30 : 23,999.97 = 5,614.70 : x
  2. Step 2: Convert to fraction form
    16,004.30/23,999.97 = 5,614.70/x
  3. Step 3: Cross multiply
    16,004.30x = 23,999.97 × 5,614.70
  4. Step 4: Simplify right side
    16,004.30x = 134,752,631.56
  5. Step 5: Solve for x
    x = 134,752,631.56/16,004.30
  6. Step 6: Final answer
    x = 8,419.78

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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.