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Finding the Fourth Proportional to 20,022.80, 30,039.12 and 6,875.36

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Solution

The fourth proportional to 20,022.80, 30,039.12 and 6,875.36 is: 10,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,022.80 : 30,039.12 = 6,875.36 : x
  2. Step 2: Convert to fraction form
    20,022.80/30,039.12 = 6,875.36/x
  3. Step 3: Cross multiply
    20,022.80x = 30,039.12 × 6,875.36
  4. Step 4: Simplify right side
    20,022.80x = 206,529,764.08
  5. Step 5: Solve for x
    x = 206,529,764.08/20,022.80
  6. Step 6: Final answer
    x = 10,314.73

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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.