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Finding the Fourth Proportional to 20,202.56, 27,880.64 and 12,245.12

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Solution

The fourth proportional to 20,202.56, 27,880.64 and 12,245.12 is: 16,898.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,202.56 : 27,880.64 = 12,245.12 : x
  2. Step 2: Convert to fraction form
    20,202.56/27,880.64 = 12,245.12/x
  3. Step 3: Cross multiply
    20,202.56x = 27,880.64 × 12,245.12
  4. Step 4: Simplify right side
    20,202.56x = 341,401,782.48
  5. Step 5: Solve for x
    x = 341,401,782.48/20,202.56
  6. Step 6: Final answer
    x = 16,898.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.