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Finding the Fourth Proportional to 12,805.88, 19,197.42 and 5,020.12

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Solution

The fourth proportional to 12,805.88, 19,197.42 and 5,020.12 is: 7,525.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.88 : 19,197.42 = 5,020.12 : x
  2. Step 2: Convert to fraction form
    12,805.88/19,197.42 = 5,020.12/x
  3. Step 3: Cross multiply
    12,805.88x = 19,197.42 × 5,020.12
  4. Step 4: Simplify right side
    12,805.88x = 96,373,352.09
  5. Step 5: Solve for x
    x = 96,373,352.09/12,805.88
  6. Step 6: Final answer
    x = 7,525.71

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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.