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Finding the Fourth Proportional to 20,173.86, 27,838.89 and 11,221.34

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Solution

The fourth proportional to 20,173.86, 27,838.89 and 11,221.34 is: 15,484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,173.86 : 27,838.89 = 11,221.34 : x
  2. Step 2: Convert to fraction form
    20,173.86/27,838.89 = 11,221.34/x
  3. Step 3: Cross multiply
    20,173.86x = 27,838.89 × 11,221.34
  4. Step 4: Simplify right side
    20,173.86x = 312,389,510.72
  5. Step 5: Solve for x
    x = 312,389,510.72/20,173.86
  6. Step 6: Final answer
    x = 15,484.87

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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.