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Finding the Fourth Proportional to 12,193.96, 18,283.05 and 8,021.35

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Solution

The fourth proportional to 12,193.96, 18,283.05 and 8,021.35 is: 12,026.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.96 : 18,283.05 = 8,021.35 : x
  2. Step 2: Convert to fraction form
    12,193.96/18,283.05 = 8,021.35/x
  3. Step 3: Cross multiply
    12,193.96x = 18,283.05 × 8,021.35
  4. Step 4: Simplify right side
    12,193.96x = 146,654,743.12
  5. Step 5: Solve for x
    x = 146,654,743.12/12,193.96
  6. Step 6: Final answer
    x = 12,026.83

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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.