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Finding the Fourth Proportional to 13,638.86, 20,458.29 and 4,279.70

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Solution

The fourth proportional to 13,638.86, 20,458.29 and 4,279.70 is: 6,419.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.86 : 20,458.29 = 4,279.70 : x
  2. Step 2: Convert to fraction form
    13,638.86/20,458.29 = 4,279.70/x
  3. Step 3: Cross multiply
    13,638.86x = 20,458.29 × 4,279.70
  4. Step 4: Simplify right side
    13,638.86x = 87,555,241.42
  5. Step 5: Solve for x
    x = 87,555,241.42/13,638.86
  6. Step 6: Final answer
    x = 6,419.54

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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.