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Finding the Fourth Proportional to 12,205.74, 18,306.47 and 4,812.26

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Solution

The fourth proportional to 12,205.74, 18,306.47 and 4,812.26 is: 7,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.74 : 18,306.47 = 4,812.26 : x
  2. Step 2: Convert to fraction form
    12,205.74/18,306.47 = 4,812.26/x
  3. Step 3: Cross multiply
    12,205.74x = 18,306.47 × 4,812.26
  4. Step 4: Simplify right side
    12,205.74x = 88,095,377.73
  5. Step 5: Solve for x
    x = 88,095,377.73/12,205.74
  6. Step 6: Final answer
    x = 7,217.54

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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.