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Finding the Fourth Proportional to 20,492.13, 30,745.94 and 8,021.07

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Solution

The fourth proportional to 20,492.13, 30,745.94 and 8,021.07 is: 12,034.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,492.13 : 30,745.94 = 8,021.07 : x
  2. Step 2: Convert to fraction form
    20,492.13/30,745.94 = 8,021.07/x
  3. Step 3: Cross multiply
    20,492.13x = 30,745.94 × 8,021.07
  4. Step 4: Simplify right side
    20,492.13x = 246,615,357.01
  5. Step 5: Solve for x
    x = 246,615,357.01/20,492.13
  6. Step 6: Final answer
    x = 12,034.64

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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.