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Finding the Fourth Proportional to 24,784.92, 37,183.23 and 8,145

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Solution

The fourth proportional to 24,784.92, 37,183.23 and 8,145 is: 12,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784.92 : 37,183.23 = 8,145 : x
  2. Step 2: Convert to fraction form
    24,784.92/37,183.23 = 8,145/x
  3. Step 3: Cross multiply
    24,784.92x = 37,183.23 × 8,145
  4. Step 4: Simplify right side
    24,784.92x = 302,857,408.35
  5. Step 5: Solve for x
    x = 302,857,408.35/24,784.92
  6. Step 6: Final answer
    x = 12,219.42

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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.