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Finding the Fourth Proportional to 24,788.70, 37,183.05 and 9,203.22

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Solution

The fourth proportional to 24,788.70, 37,183.05 and 9,203.22 is: 13,804.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,788.70 : 37,183.05 = 9,203.22 : x
  2. Step 2: Convert to fraction form
    24,788.70/37,183.05 = 9,203.22/x
  3. Step 3: Cross multiply
    24,788.70x = 37,183.05 × 9,203.22
  4. Step 4: Simplify right side
    24,788.70x = 342,203,789.42
  5. Step 5: Solve for x
    x = 342,203,789.42/24,788.70
  6. Step 6: Final answer
    x = 13,804.83

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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.