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Finding the Fourth Proportional to 20,022.13, 30,028.54 and 7,543.41

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Solution

The fourth proportional to 20,022.13, 30,028.54 and 7,543.41 is: 11,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,022.13 : 30,028.54 = 7,543.41 : x
  2. Step 2: Convert to fraction form
    20,022.13/30,028.54 = 7,543.41/x
  3. Step 3: Cross multiply
    20,022.13x = 30,028.54 × 7,543.41
  4. Step 4: Simplify right side
    20,022.13x = 226,517,588.92
  5. Step 5: Solve for x
    x = 226,517,588.92/20,022.13
  6. Step 6: Final answer
    x = 11,313.36

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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.