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Finding the Fourth Proportional to 12,206.96, 18,310.52 and 4,415.76

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Solution

The fourth proportional to 12,206.96, 18,310.52 and 4,415.76 is: 6,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.96 : 18,310.52 = 4,415.76 : x
  2. Step 2: Convert to fraction form
    12,206.96/18,310.52 = 4,415.76/x
  3. Step 3: Cross multiply
    12,206.96x = 18,310.52 × 4,415.76
  4. Step 4: Simplify right side
    12,206.96x = 80,854,861.80
  5. Step 5: Solve for x
    x = 80,854,861.80/12,206.96
  6. Step 6: Final answer
    x = 6,623.67

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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.