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Finding the Fourth Proportional to 13,863.42, 20,795.04 and 3,475.14

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Solution

The fourth proportional to 13,863.42, 20,795.04 and 3,475.14 is: 5,212.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.42 : 20,795.04 = 3,475.14 : x
  2. Step 2: Convert to fraction form
    13,863.42/20,795.04 = 3,475.14/x
  3. Step 3: Cross multiply
    13,863.42x = 20,795.04 × 3,475.14
  4. Step 4: Simplify right side
    13,863.42x = 72,265,675.31
  5. Step 5: Solve for x
    x = 72,265,675.31/13,863.42
  6. Step 6: Final answer
    x = 5,212.69

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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.