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Finding the Fourth Proportional to 12,236.25, 18,355.09 and 3,470.50

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Solution

The fourth proportional to 12,236.25, 18,355.09 and 3,470.50 is: 5,205.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,236.25 : 18,355.09 = 3,470.50 : x
  2. Step 2: Convert to fraction form
    12,236.25/18,355.09 = 3,470.50/x
  3. Step 3: Cross multiply
    12,236.25x = 18,355.09 × 3,470.50
  4. Step 4: Simplify right side
    12,236.25x = 63,701,339.85
  5. Step 5: Solve for x
    x = 63,701,339.85/12,236.25
  6. Step 6: Final answer
    x = 5,205.95

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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.