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Finding the Fourth Proportional to 12,200.95, 18,326 and 11,856.43

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Solution

The fourth proportional to 12,200.95, 18,326 and 11,856.43 is: 17,808.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.95 : 18,326 = 11,856.43 : x
  2. Step 2: Convert to fraction form
    12,200.95/18,326 = 11,856.43/x
  3. Step 3: Cross multiply
    12,200.95x = 18,326 × 11,856.43
  4. Step 4: Simplify right side
    12,200.95x = 217,280,936.18
  5. Step 5: Solve for x
    x = 217,280,936.18/12,200.95
  6. Step 6: Final answer
    x = 17,808.53

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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.