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Finding the Fourth Proportional to 20,057.40, 30,077.80 and 6,012.48

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Solution

The fourth proportional to 20,057.40, 30,077.80 and 6,012.48 is: 9,016.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,057.40 : 30,077.80 = 6,012.48 : x
  2. Step 2: Convert to fraction form
    20,057.40/30,077.80 = 6,012.48/x
  3. Step 3: Cross multiply
    20,057.40x = 30,077.80 × 6,012.48
  4. Step 4: Simplify right side
    20,057.40x = 180,842,170.94
  5. Step 5: Solve for x
    x = 180,842,170.94/20,057.40
  6. Step 6: Final answer
    x = 9,016.23

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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.