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Finding the Fourth Proportional to 16,198.92, 24,298.46 and 5,106.48

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Solution

The fourth proportional to 16,198.92, 24,298.46 and 5,106.48 is: 7,659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.92 : 24,298.46 = 5,106.48 : x
  2. Step 2: Convert to fraction form
    16,198.92/24,298.46 = 5,106.48/x
  3. Step 3: Cross multiply
    16,198.92x = 24,298.46 × 5,106.48
  4. Step 4: Simplify right side
    16,198.92x = 124,079,600.02
  5. Step 5: Solve for x
    x = 124,079,600.02/16,198.92
  6. Step 6: Final answer
    x = 7,659.75

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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.