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Finding the Fourth Proportional to 24,847.01, 37,271.70 and 8,206.67

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Solution

The fourth proportional to 24,847.01, 37,271.70 and 8,206.67 is: 12,310.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,847.01 : 37,271.70 = 8,206.67 : x
  2. Step 2: Convert to fraction form
    24,847.01/37,271.70 = 8,206.67/x
  3. Step 3: Cross multiply
    24,847.01x = 37,271.70 × 8,206.67
  4. Step 4: Simplify right side
    24,847.01x = 305,876,355.88
  5. Step 5: Solve for x
    x = 305,876,355.88/24,847.01
  6. Step 6: Final answer
    x = 12,310.39

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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.