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Finding the Fourth Proportional to 20,458.55, 30,517.84 and 20,120.24

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Solution

The fourth proportional to 20,458.55, 30,517.84 and 20,120.24 is: 30,013.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,458.55 : 30,517.84 = 20,120.24 : x
  2. Step 2: Convert to fraction form
    20,458.55/30,517.84 = 20,120.24/x
  3. Step 3: Cross multiply
    20,458.55x = 30,517.84 × 20,120.24
  4. Step 4: Simplify right side
    20,458.55x = 614,026,265.08
  5. Step 5: Solve for x
    x = 614,026,265.08/20,458.55
  6. Step 6: Final answer
    x = 30,013.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.