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Finding the Fourth Proportional to 13,734.63, 18,961.97 and 9,027.05

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Solution

The fourth proportional to 13,734.63, 18,961.97 and 9,027.05 is: 12,462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.63 : 18,961.97 = 9,027.05 : x
  2. Step 2: Convert to fraction form
    13,734.63/18,961.97 = 9,027.05/x
  3. Step 3: Cross multiply
    13,734.63x = 18,961.97 × 9,027.05
  4. Step 4: Simplify right side
    13,734.63x = 171,170,511.34
  5. Step 5: Solve for x
    x = 171,170,511.34/13,734.63
  6. Step 6: Final answer
    x = 12,462.70

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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.