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Finding the Fourth Proportional to 20,077.92, 30,118.44 and 5,286.63

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Solution

The fourth proportional to 20,077.92, 30,118.44 and 5,286.63 is: 7,930.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,077.92 : 30,118.44 = 5,286.63 : x
  2. Step 2: Convert to fraction form
    20,077.92/30,118.44 = 5,286.63/x
  3. Step 3: Cross multiply
    20,077.92x = 30,118.44 × 5,286.63
  4. Step 4: Simplify right side
    20,077.92x = 159,225,048.46
  5. Step 5: Solve for x
    x = 159,225,048.46/20,077.92
  6. Step 6: Final answer
    x = 7,930.36

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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.