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Finding the Fourth Proportional to 20,178.96, 27,841.82 and 11,224.41

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Solution

The fourth proportional to 20,178.96, 27,841.82 and 11,224.41 is: 15,486.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.96 : 27,841.82 = 11,224.41 : x
  2. Step 2: Convert to fraction form
    20,178.96/27,841.82 = 11,224.41/x
  3. Step 3: Cross multiply
    20,178.96x = 27,841.82 × 11,224.41
  4. Step 4: Simplify right side
    20,178.96x = 312,507,946.70
  5. Step 5: Solve for x
    x = 312,507,946.70/20,178.96
  6. Step 6: Final answer
    x = 15,486.82

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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.