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Finding the Fourth Proportional to 20,116.54, 27,760.92 and 11,164.18

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Solution

The fourth proportional to 20,116.54, 27,760.92 and 11,164.18 is: 15,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,116.54 : 27,760.92 = 11,164.18 : x
  2. Step 2: Convert to fraction form
    20,116.54/27,760.92 = 11,164.18/x
  3. Step 3: Cross multiply
    20,116.54x = 27,760.92 × 11,164.18
  4. Step 4: Simplify right side
    20,116.54x = 309,927,907.85
  5. Step 5: Solve for x
    x = 309,927,907.85/20,116.54
  6. Step 6: Final answer
    x = 15,406.62

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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.