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Finding the Fourth Proportional to 20,500.04, 30,757.80 and 8,028.98

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Solution

The fourth proportional to 20,500.04, 30,757.80 and 8,028.98 is: 12,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,500.04 : 30,757.80 = 8,028.98 : x
  2. Step 2: Convert to fraction form
    20,500.04/30,757.80 = 8,028.98/x
  3. Step 3: Cross multiply
    20,500.04x = 30,757.80 × 8,028.98
  4. Step 4: Simplify right side
    20,500.04x = 246,953,607.26
  5. Step 5: Solve for x
    x = 246,953,607.26/20,500.04
  6. Step 6: Final answer
    x = 12,046.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.