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Finding the Fourth Proportional to 24,313.22, 36,469.83 and 7,674.55

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Solution

The fourth proportional to 24,313.22, 36,469.83 and 7,674.55 is: 11,511.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,313.22 : 36,469.83 = 7,674.55 : x
  2. Step 2: Convert to fraction form
    24,313.22/36,469.83 = 7,674.55/x
  3. Step 3: Cross multiply
    24,313.22x = 36,469.83 × 7,674.55
  4. Step 4: Simplify right side
    24,313.22x = 279,889,533.83
  5. Step 5: Solve for x
    x = 279,889,533.83/24,313.22
  6. Step 6: Final answer
    x = 11,511.83

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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.