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Finding the Fourth Proportional to 12,205.50, 18,296.46 and 4,807.50

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Solution

The fourth proportional to 12,205.50, 18,296.46 and 4,807.50 is: 7,206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.50 : 18,296.46 = 4,807.50 : x
  2. Step 2: Convert to fraction form
    12,205.50/18,296.46 = 4,807.50/x
  3. Step 3: Cross multiply
    12,205.50x = 18,296.46 × 4,807.50
  4. Step 4: Simplify right side
    12,205.50x = 87,960,231.45
  5. Step 5: Solve for x
    x = 87,960,231.45/12,205.50
  6. Step 6: Final answer
    x = 7,206.61

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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.