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Finding the Fourth Proportional to 20,115.71, 27,759.75 and 11,164.50

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Solution

The fourth proportional to 20,115.71, 27,759.75 and 11,164.50 is: 15,407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,115.71 : 27,759.75 = 11,164.50 : x
  2. Step 2: Convert to fraction form
    20,115.71/27,759.75 = 11,164.50/x
  3. Step 3: Cross multiply
    20,115.71x = 27,759.75 × 11,164.50
  4. Step 4: Simplify right side
    20,115.71x = 309,923,687.01
  5. Step 5: Solve for x
    x = 309,923,687.01/20,115.71
  6. Step 6: Final answer
    x = 15,407.05

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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.