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Finding the Fourth Proportional to 12,270.41, 18,408.54 and 3,951.20

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Solution

The fourth proportional to 12,270.41, 18,408.54 and 3,951.20 is: 5,927.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270.41 : 18,408.54 = 3,951.20 : x
  2. Step 2: Convert to fraction form
    12,270.41/18,408.54 = 3,951.20/x
  3. Step 3: Cross multiply
    12,270.41x = 18,408.54 × 3,951.20
  4. Step 4: Simplify right side
    12,270.41x = 72,735,731.21
  5. Step 5: Solve for x
    x = 72,735,731.21/12,270.41
  6. Step 6: Final answer
    x = 5,927.74

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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.