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Finding the Fourth Proportional to 13,638.67, 20,458.25 and 4,278.48

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Solution

The fourth proportional to 13,638.67, 20,458.25 and 4,278.48 is: 6,417.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.67 : 20,458.25 = 4,278.48 : x
  2. Step 2: Convert to fraction form
    13,638.67/20,458.25 = 4,278.48/x
  3. Step 3: Cross multiply
    13,638.67x = 20,458.25 × 4,278.48
  4. Step 4: Simplify right side
    13,638.67x = 87,530,213.46
  5. Step 5: Solve for x
    x = 87,530,213.46/13,638.67
  6. Step 6: Final answer
    x = 6,417.80

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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.