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Finding the Fourth Proportional to 16,023.64, 23,993.40 and 11,318.20

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Solution

The fourth proportional to 16,023.64, 23,993.40 and 11,318.20 is: 16,947.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,023.64 : 23,993.40 = 11,318.20 : x
  2. Step 2: Convert to fraction form
    16,023.64/23,993.40 = 11,318.20/x
  3. Step 3: Cross multiply
    16,023.64x = 23,993.40 × 11,318.20
  4. Step 4: Simplify right side
    16,023.64x = 271,562,099.88
  5. Step 5: Solve for x
    x = 271,562,099.88/16,023.64
  6. Step 6: Final answer
    x = 16,947.59

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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.