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Finding the Fourth Proportional to 20,119.14, 27,763.11 and 11,166.64

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Solution

The fourth proportional to 20,119.14, 27,763.11 and 11,166.64 is: 15,409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,119.14 : 27,763.11 = 11,166.64 : x
  2. Step 2: Convert to fraction form
    20,119.14/27,763.11 = 11,166.64/x
  3. Step 3: Cross multiply
    20,119.14x = 27,763.11 × 11,166.64
  4. Step 4: Simplify right side
    20,119.14x = 310,020,585.24
  5. Step 5: Solve for x
    x = 310,020,585.24/20,119.14
  6. Step 6: Final answer
    x = 15,409.24

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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.