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Finding the Fourth Proportional to 13,984.96, 20,977.44 and 5,100.96

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Solution

The fourth proportional to 13,984.96, 20,977.44 and 5,100.96 is: 7,651.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.96 : 20,977.44 = 5,100.96 : x
  2. Step 2: Convert to fraction form
    13,984.96/20,977.44 = 5,100.96/x
  3. Step 3: Cross multiply
    13,984.96x = 20,977.44 × 5,100.96
  4. Step 4: Simplify right side
    13,984.96x = 107,005,082.34
  5. Step 5: Solve for x
    x = 107,005,082.34/13,984.96
  6. Step 6: Final answer
    x = 7,651.44

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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.