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Finding the Fourth Proportional to 13,638.68, 20,446.92 and 4,273.88

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Solution

The fourth proportional to 13,638.68, 20,446.92 and 4,273.88 is: 6,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.68 : 20,446.92 = 4,273.88 : x
  2. Step 2: Convert to fraction form
    13,638.68/20,446.92 = 4,273.88/x
  3. Step 3: Cross multiply
    13,638.68x = 20,446.92 × 4,273.88
  4. Step 4: Simplify right side
    13,638.68x = 87,387,682.45
  5. Step 5: Solve for x
    x = 87,387,682.45/13,638.68
  6. Step 6: Final answer
    x = 6,407.34

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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.