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Finding the Fourth Proportional to 12,519.77, 18,775.80 and 4,197.42

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Solution

The fourth proportional to 12,519.77, 18,775.80 and 4,197.42 is: 6,294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,519.77 : 18,775.80 = 4,197.42 : x
  2. Step 2: Convert to fraction form
    12,519.77/18,775.80 = 4,197.42/x
  3. Step 3: Cross multiply
    12,519.77x = 18,775.80 × 4,197.42
  4. Step 4: Simplify right side
    12,519.77x = 78,809,918.44
  5. Step 5: Solve for x
    x = 78,809,918.44/12,519.77
  6. Step 6: Final answer
    x = 6,294.84

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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.