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Finding the Fourth Proportional to 20,201.49, 30,274.13 and 10,319.90

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Solution

The fourth proportional to 20,201.49, 30,274.13 and 10,319.90 is: 15,465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201.49 : 30,274.13 = 10,319.90 : x
  2. Step 2: Convert to fraction form
    20,201.49/30,274.13 = 10,319.90/x
  3. Step 3: Cross multiply
    20,201.49x = 30,274.13 × 10,319.90
  4. Step 4: Simplify right side
    20,201.49x = 312,425,791.22
  5. Step 5: Solve for x
    x = 312,425,791.22/20,201.49
  6. Step 6: Final answer
    x = 15,465.48

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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.