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Finding the Fourth Proportional to 20,127.10, 30,169.05 and 7,642.30

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Solution

The fourth proportional to 20,127.10, 30,169.05 and 7,642.30 is: 11,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,127.10 : 30,169.05 = 7,642.30 : x
  2. Step 2: Convert to fraction form
    20,127.10/30,169.05 = 7,642.30/x
  3. Step 3: Cross multiply
    20,127.10x = 30,169.05 × 7,642.30
  4. Step 4: Simplify right side
    20,127.10x = 230,560,930.82
  5. Step 5: Solve for x
    x = 230,560,930.82/20,127.10
  6. Step 6: Final answer
    x = 11,455.25

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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.