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Finding the Fourth Proportional to 20,164.09, 27,825.04 and 11,210.60

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Solution

The fourth proportional to 20,164.09, 27,825.04 and 11,210.60 is: 15,469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.09 : 27,825.04 = 11,210.60 : x
  2. Step 2: Convert to fraction form
    20,164.09/27,825.04 = 11,210.60/x
  3. Step 3: Cross multiply
    20,164.09x = 27,825.04 × 11,210.60
  4. Step 4: Simplify right side
    20,164.09x = 311,935,393.42
  5. Step 5: Solve for x
    x = 311,935,393.42/20,164.09
  6. Step 6: Final answer
    x = 15,469.85

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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.