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Finding the Fourth Proportional to 12,206.40, 18,311.76 and 4,813.80

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Solution

The fourth proportional to 12,206.40, 18,311.76 and 4,813.80 is: 7,221.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.40 : 18,311.76 = 4,813.80 : x
  2. Step 2: Convert to fraction form
    12,206.40/18,311.76 = 4,813.80/x
  3. Step 3: Cross multiply
    12,206.40x = 18,311.76 × 4,813.80
  4. Step 4: Simplify right side
    12,206.40x = 88,149,150.29
  5. Step 5: Solve for x
    x = 88,149,150.29/12,206.40
  6. Step 6: Final answer
    x = 7,221.55

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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.