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Finding the Fourth Proportional to 16,198.86, 24,301.59 and 6,202.90

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Solution

The fourth proportional to 16,198.86, 24,301.59 and 6,202.90 is: 9,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.86 : 24,301.59 = 6,202.90 : x
  2. Step 2: Convert to fraction form
    16,198.86/24,301.59 = 6,202.90/x
  3. Step 3: Cross multiply
    16,198.86x = 24,301.59 × 6,202.90
  4. Step 4: Simplify right side
    16,198.86x = 150,740,332.61
  5. Step 5: Solve for x
    x = 150,740,332.61/16,198.86
  6. Step 6: Final answer
    x = 9,305.61

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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.