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Finding the Fourth Proportional to 13,616.44, 20,385.26 and 7,977.08

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Solution

The fourth proportional to 13,616.44, 20,385.26 and 7,977.08 is: 11,942.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.44 : 20,385.26 = 7,977.08 : x
  2. Step 2: Convert to fraction form
    13,616.44/20,385.26 = 7,977.08/x
  3. Step 3: Cross multiply
    13,616.44x = 20,385.26 × 7,977.08
  4. Step 4: Simplify right side
    13,616.44x = 162,614,849.84
  5. Step 5: Solve for x
    x = 162,614,849.84/13,616.44
  6. Step 6: Final answer
    x = 11,942.54

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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.