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Finding the Fourth Proportional to 20,127.83, 30,184.88 and 7,644.83

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Solution

The fourth proportional to 20,127.83, 30,184.88 and 7,644.83 is: 11,464.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,127.83 : 30,184.88 = 7,644.83 : x
  2. Step 2: Convert to fraction form
    20,127.83/30,184.88 = 7,644.83/x
  3. Step 3: Cross multiply
    20,127.83x = 30,184.88 × 7,644.83
  4. Step 4: Simplify right side
    20,127.83x = 230,758,087.02
  5. Step 5: Solve for x
    x = 230,758,087.02/20,127.83
  6. Step 6: Final answer
    x = 11,464.63

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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.