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Finding the Fourth Proportional to 20,174.78, 27,825.44 and 17,200.46

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Solution

The fourth proportional to 20,174.78, 27,825.44 and 17,200.46 is: 23,723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174.78 : 27,825.44 = 17,200.46 : x
  2. Step 2: Convert to fraction form
    20,174.78/27,825.44 = 17,200.46/x
  3. Step 3: Cross multiply
    20,174.78x = 27,825.44 × 17,200.46
  4. Step 4: Simplify right side
    20,174.78x = 478,610,367.70
  5. Step 5: Solve for x
    x = 478,610,367.70/20,174.78
  6. Step 6: Final answer
    x = 23,723.20

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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.