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Finding the Fourth Proportional to 24,850.56, 37,266.72 and 8,205.67

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Solution

The fourth proportional to 24,850.56, 37,266.72 and 8,205.67 is: 12,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,850.56 : 37,266.72 = 8,205.67 : x
  2. Step 2: Convert to fraction form
    24,850.56/37,266.72 = 8,205.67/x
  3. Step 3: Cross multiply
    24,850.56x = 37,266.72 × 8,205.67
  4. Step 4: Simplify right side
    24,850.56x = 305,798,406.30
  5. Step 5: Solve for x
    x = 305,798,406.30/24,850.56
  6. Step 6: Final answer
    x = 12,305.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.