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Finding the Fourth Proportional to 13,936.98, 20,907.44 and 4,077

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Solution

The fourth proportional to 13,936.98, 20,907.44 and 4,077 is: 6,116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,936.98 : 20,907.44 = 4,077 : x
  2. Step 2: Convert to fraction form
    13,936.98/20,907.44 = 4,077/x
  3. Step 3: Cross multiply
    13,936.98x = 20,907.44 × 4,077
  4. Step 4: Simplify right side
    13,936.98x = 85,239,632.88
  5. Step 5: Solve for x
    x = 85,239,632.88/13,936.98
  6. Step 6: Final answer
    x = 6,116.08

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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.