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Finding the Fourth Proportional to 30,234.04, 41,720.39 and 16,801

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Solution

The fourth proportional to 30,234.04, 41,720.39 and 16,801 is: 23,183.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,234.04 : 41,720.39 = 16,801 : x
  2. Step 2: Convert to fraction form
    30,234.04/41,720.39 = 16,801/x
  3. Step 3: Cross multiply
    30,234.04x = 41,720.39 × 16,801
  4. Step 4: Simplify right side
    30,234.04x = 700,944,272.39
  5. Step 5: Solve for x
    x = 700,944,272.39/30,234.04
  6. Step 6: Final answer
    x = 23,183.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.