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Finding the Fourth Proportional to 20,146.87, 30,164.91 and 15,201.49

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Solution

The fourth proportional to 20,146.87, 30,164.91 and 15,201.49 is: 22,760.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.87 : 30,164.91 = 15,201.49 : x
  2. Step 2: Convert to fraction form
    20,146.87/30,164.91 = 15,201.49/x
  3. Step 3: Cross multiply
    20,146.87x = 30,164.91 × 15,201.49
  4. Step 4: Simplify right side
    20,146.87x = 458,551,577.72
  5. Step 5: Solve for x
    x = 458,551,577.72/20,146.87
  6. Step 6: Final answer
    x = 22,760.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.