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Finding the Fourth Proportional to 20,018.96, 30,023.85 and 7,540.28

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Solution

The fourth proportional to 20,018.96, 30,023.85 and 7,540.28 is: 11,308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,018.96 : 30,023.85 = 7,540.28 : x
  2. Step 2: Convert to fraction form
    20,018.96/30,023.85 = 7,540.28/x
  3. Step 3: Cross multiply
    20,018.96x = 30,023.85 × 7,540.28
  4. Step 4: Simplify right side
    20,018.96x = 226,388,235.68
  5. Step 5: Solve for x
    x = 226,388,235.68/20,018.96
  6. Step 6: Final answer
    x = 11,308.69

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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.