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Finding the Fourth Proportional to 16,201.64, 24,296.52 and 7,879.16

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Solution

The fourth proportional to 16,201.64, 24,296.52 and 7,879.16 is: 11,815.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.64 : 24,296.52 = 7,879.16 : x
  2. Step 2: Convert to fraction form
    16,201.64/24,296.52 = 7,879.16/x
  3. Step 3: Cross multiply
    16,201.64x = 24,296.52 × 7,879.16
  4. Step 4: Simplify right side
    16,201.64x = 191,436,168.52
  5. Step 5: Solve for x
    x = 191,436,168.52/16,201.64
  6. Step 6: Final answer
    x = 11,815.85

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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.