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Finding the Fourth Proportional to 20,181.72, 27,850.53 and 11,229

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Solution

The fourth proportional to 20,181.72, 27,850.53 and 11,229 is: 15,495.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,181.72 : 27,850.53 = 11,229 : x
  2. Step 2: Convert to fraction form
    20,181.72/27,850.53 = 11,229/x
  3. Step 3: Cross multiply
    20,181.72x = 27,850.53 × 11,229
  4. Step 4: Simplify right side
    20,181.72x = 312,733,601.37
  5. Step 5: Solve for x
    x = 312,733,601.37/20,181.72
  6. Step 6: Final answer
    x = 15,495.88

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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.