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Finding the Fourth Proportional to 20,116.88, 27,760.00 and 11,164.39

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Solution

The fourth proportional to 20,116.88, 27,760.00 and 11,164.39 is: 15,406.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,116.88 : 27,760.00 = 11,164.39 : x
  2. Step 2: Convert to fraction form
    20,116.88/27,760.00 = 11,164.39/x
  3. Step 3: Cross multiply
    20,116.88x = 27,760.00 × 11,164.39
  4. Step 4: Simplify right side
    20,116.88x = 309,923,390.02
  5. Step 5: Solve for x
    x = 309,923,390.02/20,116.88
  6. Step 6: Final answer
    x = 15,406.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.