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Finding the Fourth Proportional to 12,950.92, 19,398.30 and 8,021.80

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Solution

The fourth proportional to 12,950.92, 19,398.30 and 8,021.80 is: 12,015.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.92 : 19,398.30 = 8,021.80 : x
  2. Step 2: Convert to fraction form
    12,950.92/19,398.30 = 8,021.80/x
  3. Step 3: Cross multiply
    12,950.92x = 19,398.30 × 8,021.80
  4. Step 4: Simplify right side
    12,950.92x = 155,609,282.94
  5. Step 5: Solve for x
    x = 155,609,282.94/12,950.92
  6. Step 6: Final answer
    x = 12,015.31

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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.