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Finding the Fourth Proportional to 13,194.80, 19,789 and 4,427.44

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Solution

The fourth proportional to 13,194.80, 19,789 and 4,427.44 is: 6,640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.80 : 19,789 = 4,427.44 : x
  2. Step 2: Convert to fraction form
    13,194.80/19,789 = 4,427.44/x
  3. Step 3: Cross multiply
    13,194.80x = 19,789 × 4,427.44
  4. Step 4: Simplify right side
    13,194.80x = 87,614,610.16
  5. Step 5: Solve for x
    x = 87,614,610.16/13,194.80
  6. Step 6: Final answer
    x = 6,640.09

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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.