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Finding the Fourth Proportional to 13,196.08, 19,791 and 3,833.60

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Solution

The fourth proportional to 13,196.08, 19,791 and 3,833.60 is: 5,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.08 : 19,791 = 3,833.60 : x
  2. Step 2: Convert to fraction form
    13,196.08/19,791 = 3,833.60/x
  3. Step 3: Cross multiply
    13,196.08x = 19,791 × 3,833.60
  4. Step 4: Simplify right side
    13,196.08x = 75,870,777.60
  5. Step 5: Solve for x
    x = 75,870,777.60/13,196.08
  6. Step 6: Final answer
    x = 5,749.49

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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.