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Finding the Fourth Proportional to 20,129.10, 30,172.05 and 7,644.30

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Solution

The fourth proportional to 20,129.10, 30,172.05 and 7,644.30 is: 11,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129.10 : 30,172.05 = 7,644.30 : x
  2. Step 2: Convert to fraction form
    20,129.10/30,172.05 = 7,644.30/x
  3. Step 3: Cross multiply
    20,129.10x = 30,172.05 × 7,644.30
  4. Step 4: Simplify right side
    20,129.10x = 230,644,201.82
  5. Step 5: Solve for x
    x = 230,644,201.82/20,129.10
  6. Step 6: Final answer
    x = 11,458.25

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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.