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Finding the Fourth Proportional to 24,770.34, 37,138.23 and 9,183.78

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Solution

The fourth proportional to 24,770.34, 37,138.23 and 9,183.78 is: 13,769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,770.34 : 37,138.23 = 9,183.78 : x
  2. Step 2: Convert to fraction form
    24,770.34/37,138.23 = 9,183.78/x
  3. Step 3: Cross multiply
    24,770.34x = 37,138.23 × 9,183.78
  4. Step 4: Simplify right side
    24,770.34x = 341,069,333.91
  5. Step 5: Solve for x
    x = 341,069,333.91/24,770.34
  6. Step 6: Final answer
    x = 13,769.26

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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.