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Finding the Fourth Proportional to 14,568.44, 20,104.25 and 8,194.55

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Solution

The fourth proportional to 14,568.44, 20,104.25 and 8,194.55 is: 11,308.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,568.44 : 20,104.25 = 8,194.55 : x
  2. Step 2: Convert to fraction form
    14,568.44/20,104.25 = 8,194.55/x
  3. Step 3: Cross multiply
    14,568.44x = 20,104.25 × 8,194.55
  4. Step 4: Simplify right side
    14,568.44x = 164,745,140.34
  5. Step 5: Solve for x
    x = 164,745,140.34/14,568.44
  6. Step 6: Final answer
    x = 11,308.36

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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.