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Finding the Fourth Proportional to 20,142.74, 27,796.95 and 11,191.07

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Solution

The fourth proportional to 20,142.74, 27,796.95 and 11,191.07 is: 15,443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.74 : 27,796.95 = 11,191.07 : x
  2. Step 2: Convert to fraction form
    20,142.74/27,796.95 = 11,191.07/x
  3. Step 3: Cross multiply
    20,142.74x = 27,796.95 × 11,191.07
  4. Step 4: Simplify right side
    20,142.74x = 311,077,474.25
  5. Step 5: Solve for x
    x = 311,077,474.25/20,142.74
  6. Step 6: Final answer
    x = 15,443.66

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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.