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Finding the Fourth Proportional to 13,922.37, 20,845.89 and 10,196.37

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Solution

The fourth proportional to 13,922.37, 20,845.89 and 10,196.37 is: 15,266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,922.37 : 20,845.89 = 10,196.37 : x
  2. Step 2: Convert to fraction form
    13,922.37/20,845.89 = 10,196.37/x
  3. Step 3: Cross multiply
    13,922.37x = 20,845.89 × 10,196.37
  4. Step 4: Simplify right side
    13,922.37x = 212,552,407.42
  5. Step 5: Solve for x
    x = 212,552,407.42/13,922.37
  6. Step 6: Final answer
    x = 15,266.97

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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.