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Finding the Fourth Proportional to 12,204.17, 18,309.89 and 8,653.13

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Solution

The fourth proportional to 12,204.17, 18,309.89 and 8,653.13 is: 12,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.17 : 18,309.89 = 8,653.13 : x
  2. Step 2: Convert to fraction form
    12,204.17/18,309.89 = 8,653.13/x
  3. Step 3: Cross multiply
    12,204.17x = 18,309.89 × 8,653.13
  4. Step 4: Simplify right side
    12,204.17x = 158,437,766.91
  5. Step 5: Solve for x
    x = 158,437,766.91/12,204.17
  6. Step 6: Final answer
    x = 12,982.27

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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.