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Finding the Fourth Proportional to 12,205.38, 18,308.70 and 3,440.94

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Solution

The fourth proportional to 12,205.38, 18,308.70 and 3,440.94 is: 5,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.38 : 18,308.70 = 3,440.94 : x
  2. Step 2: Convert to fraction form
    12,205.38/18,308.70 = 3,440.94/x
  3. Step 3: Cross multiply
    12,205.38x = 18,308.70 × 3,440.94
  4. Step 4: Simplify right side
    12,205.38x = 62,999,138.18
  5. Step 5: Solve for x
    x = 62,999,138.18/12,205.38
  6. Step 6: Final answer
    x = 5,161.59

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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.