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Finding the Fourth Proportional to 20,181.54, 27,854.58 and 11,682.48

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Solution

The fourth proportional to 20,181.54, 27,854.58 and 11,682.48 is: 16,124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,181.54 : 27,854.58 = 11,682.48 : x
  2. Step 2: Convert to fraction form
    20,181.54/27,854.58 = 11,682.48/x
  3. Step 3: Cross multiply
    20,181.54x = 27,854.58 × 11,682.48
  4. Step 4: Simplify right side
    20,181.54x = 325,410,573.76
  5. Step 5: Solve for x
    x = 325,410,573.76/20,181.54
  6. Step 6: Final answer
    x = 16,124.17

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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.