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Finding the Fourth Proportional to 12,215.66, 18,321.17 and 5,194.35

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Solution

The fourth proportional to 12,215.66, 18,321.17 and 5,194.35 is: 7,790.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,215.66 : 18,321.17 = 5,194.35 : x
  2. Step 2: Convert to fraction form
    12,215.66/18,321.17 = 5,194.35/x
  3. Step 3: Cross multiply
    12,215.66x = 18,321.17 × 5,194.35
  4. Step 4: Simplify right side
    12,215.66x = 95,166,543.42
  5. Step 5: Solve for x
    x = 95,166,543.42/12,215.66
  6. Step 6: Final answer
    x = 7,790.54

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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.