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Finding the Fourth Proportional to 24,793.96, 34,231.14 and 16,424.68

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Solution

The fourth proportional to 24,793.96, 34,231.14 and 16,424.68 is: 22,676.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,793.96 : 34,231.14 = 16,424.68 : x
  2. Step 2: Convert to fraction form
    24,793.96/34,231.14 = 16,424.68/x
  3. Step 3: Cross multiply
    24,793.96x = 34,231.14 × 16,424.68
  4. Step 4: Simplify right side
    24,793.96x = 562,235,520.54
  5. Step 5: Solve for x
    x = 562,235,520.54/24,793.96
  6. Step 6: Final answer
    x = 22,676.31

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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.