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Finding the Fourth Proportional to 20,142.94, 30,218.73 and 8,449.42

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Solution

The fourth proportional to 20,142.94, 30,218.73 and 8,449.42 is: 12,675.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.94 : 30,218.73 = 8,449.42 : x
  2. Step 2: Convert to fraction form
    20,142.94/30,218.73 = 8,449.42/x
  3. Step 3: Cross multiply
    20,142.94x = 30,218.73 × 8,449.42
  4. Step 4: Simplify right side
    20,142.94x = 255,330,741.64
  5. Step 5: Solve for x
    x = 255,330,741.64/20,142.94
  6. Step 6: Final answer
    x = 12,675.94

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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.