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Finding the Fourth Proportional to 13,791.96, 20,688.06 and 6,394.32

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Solution

The fourth proportional to 13,791.96, 20,688.06 and 6,394.32 is: 9,591.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.96 : 20,688.06 = 6,394.32 : x
  2. Step 2: Convert to fraction form
    13,791.96/20,688.06 = 6,394.32/x
  3. Step 3: Cross multiply
    13,791.96x = 20,688.06 × 6,394.32
  4. Step 4: Simplify right side
    13,791.96x = 132,286,075.82
  5. Step 5: Solve for x
    x = 132,286,075.82/13,791.96
  6. Step 6: Final answer
    x = 9,591.54

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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.