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Finding the Fourth Proportional to 13,777.63, 20,647.28 and 7,190.64

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Solution

The fourth proportional to 13,777.63, 20,647.28 and 7,190.64 is: 10,775.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.63 : 20,647.28 = 7,190.64 : x
  2. Step 2: Convert to fraction form
    13,777.63/20,647.28 = 7,190.64/x
  3. Step 3: Cross multiply
    13,777.63x = 20,647.28 × 7,190.64
  4. Step 4: Simplify right side
    13,777.63x = 148,467,175.44
  5. Step 5: Solve for x
    x = 148,467,175.44/13,777.63
  6. Step 6: Final answer
    x = 10,775.96

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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.