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Finding the Fourth Proportional to 12,155.70, 16,774.62 and 6,850.40

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Solution

The fourth proportional to 12,155.70, 16,774.62 and 6,850.40 is: 9,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155.70 : 16,774.62 = 6,850.40 : x
  2. Step 2: Convert to fraction form
    12,155.70/16,774.62 = 6,850.40/x
  3. Step 3: Cross multiply
    12,155.70x = 16,774.62 × 6,850.40
  4. Step 4: Simplify right side
    12,155.70x = 114,912,856.85
  5. Step 5: Solve for x
    x = 114,912,856.85/12,155.70
  6. Step 6: Final answer
    x = 9,453.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.