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Finding the Fourth Proportional to 13,709.14, 20,559.46 and 4,942.92

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Solution

The fourth proportional to 13,709.14, 20,559.46 and 4,942.92 is: 7,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.14 : 20,559.46 = 4,942.92 : x
  2. Step 2: Convert to fraction form
    13,709.14/20,559.46 = 4,942.92/x
  3. Step 3: Cross multiply
    13,709.14x = 20,559.46 × 4,942.92
  4. Step 4: Simplify right side
    13,709.14x = 101,623,766.02
  5. Step 5: Solve for x
    x = 101,623,766.02/13,709.14
  6. Step 6: Final answer
    x = 7,412.85

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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.