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Finding the Fourth Proportional to 20,165.15, 27,827.81 and 11,212.12

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Solution

The fourth proportional to 20,165.15, 27,827.81 and 11,212.12 is: 15,472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.15 : 27,827.81 = 11,212.12 : x
  2. Step 2: Convert to fraction form
    20,165.15/27,827.81 = 11,212.12/x
  3. Step 3: Cross multiply
    20,165.15x = 27,827.81 × 11,212.12
  4. Step 4: Simplify right side
    20,165.15x = 312,008,745.06
  5. Step 5: Solve for x
    x = 312,008,745.06/20,165.15
  6. Step 6: Final answer
    x = 15,472.67

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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.