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Finding the Fourth Proportional to 13,638.44, 20,458.10 and 3,776.88

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Solution

The fourth proportional to 13,638.44, 20,458.10 and 3,776.88 is: 5,665.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.44 : 20,458.10 = 3,776.88 : x
  2. Step 2: Convert to fraction form
    13,638.44/20,458.10 = 3,776.88/x
  3. Step 3: Cross multiply
    13,638.44x = 20,458.10 × 3,776.88
  4. Step 4: Simplify right side
    13,638.44x = 77,267,788.73
  5. Step 5: Solve for x
    x = 77,267,788.73/13,638.44
  6. Step 6: Final answer
    x = 5,665.44

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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.