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Finding the Fourth Proportional to 13,077.28, 19,616.64 and 8,489.44

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Solution

The fourth proportional to 13,077.28, 19,616.64 and 8,489.44 is: 12,734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.28 : 19,616.64 = 8,489.44 : x
  2. Step 2: Convert to fraction form
    13,077.28/19,616.64 = 8,489.44/x
  3. Step 3: Cross multiply
    13,077.28x = 19,616.64 × 8,489.44
  4. Step 4: Simplify right side
    13,077.28x = 166,534,288.28
  5. Step 5: Solve for x
    x = 166,534,288.28/13,077.28
  6. Step 6: Final answer
    x = 12,734.63

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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.