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Finding the Fourth Proportional to 20,131.93, 27,782.56 and 11,179

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Solution

The fourth proportional to 20,131.93, 27,782.56 and 11,179 is: 15,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131.93 : 27,782.56 = 11,179 : x
  2. Step 2: Convert to fraction form
    20,131.93/27,782.56 = 11,179/x
  3. Step 3: Cross multiply
    20,131.93x = 27,782.56 × 11,179
  4. Step 4: Simplify right side
    20,131.93x = 310,581,238.24
  5. Step 5: Solve for x
    x = 310,581,238.24/20,131.93
  6. Step 6: Final answer
    x = 15,427.30

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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.