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Finding the Fourth Proportional to 20,166.50, 27,829.79 and 11,213.81

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Solution

The fourth proportional to 20,166.50, 27,829.79 and 11,213.81 is: 15,475.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,166.50 : 27,829.79 = 11,213.81 : x
  2. Step 2: Convert to fraction form
    20,166.50/27,829.79 = 11,213.81/x
  3. Step 3: Cross multiply
    20,166.50x = 27,829.79 × 11,213.81
  4. Step 4: Simplify right side
    20,166.50x = 312,077,893.81
  5. Step 5: Solve for x
    x = 312,077,893.81/20,166.50
  6. Step 6: Final answer
    x = 15,475.07

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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.