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Finding the Fourth Proportional to 16,298.62, 24,435.92 and 5,198.92

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Solution

The fourth proportional to 16,298.62, 24,435.92 and 5,198.92 is: 7,794.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.62 : 24,435.92 = 5,198.92 : x
  2. Step 2: Convert to fraction form
    16,298.62/24,435.92 = 5,198.92/x
  3. Step 3: Cross multiply
    16,298.62x = 24,435.92 × 5,198.92
  4. Step 4: Simplify right side
    16,298.62x = 127,040,393.21
  5. Step 5: Solve for x
    x = 127,040,393.21/16,298.62
  6. Step 6: Final answer
    x = 7,794.55

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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.