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Finding the Fourth Proportional to 20,116.57, 27,760.88 and 11,164.08

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Solution

The fourth proportional to 20,116.57, 27,760.88 and 11,164.08 is: 15,406.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,116.57 : 27,760.88 = 11,164.08 : x
  2. Step 2: Convert to fraction form
    20,116.57/27,760.88 = 11,164.08/x
  3. Step 3: Cross multiply
    20,116.57x = 27,760.88 × 11,164.08
  4. Step 4: Simplify right side
    20,116.57x = 309,924,490.57
  5. Step 5: Solve for x
    x = 309,924,490.57/20,116.57
  6. Step 6: Final answer
    x = 15,406.43

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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.