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Finding the Fourth Proportional to 20,181.60, 27,851.40 and 12,219.32

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Solution

The fourth proportional to 20,181.60, 27,851.40 and 12,219.32 is: 16,863.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,181.60 : 27,851.40 = 12,219.32 : x
  2. Step 2: Convert to fraction form
    20,181.60/27,851.40 = 12,219.32/x
  3. Step 3: Cross multiply
    20,181.60x = 27,851.40 × 12,219.32
  4. Step 4: Simplify right side
    20,181.60x = 340,325,169.05
  5. Step 5: Solve for x
    x = 340,325,169.05/20,181.60
  6. Step 6: Final answer
    x = 16,863.14

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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.