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Finding the Fourth Proportional to 20,166.41, 27,827.01 and 11,212.13

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Solution

The fourth proportional to 20,166.41, 27,827.01 and 11,212.13 is: 15,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,166.41 : 27,827.01 = 11,212.13 : x
  2. Step 2: Convert to fraction form
    20,166.41/27,827.01 = 11,212.13/x
  3. Step 3: Cross multiply
    20,166.41x = 27,827.01 × 11,212.13
  4. Step 4: Simplify right side
    20,166.41x = 311,999,914.50
  5. Step 5: Solve for x
    x = 311,999,914.50/20,166.41
  6. Step 6: Final answer
    x = 15,471.27

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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.