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Finding the Fourth Proportional to 12,204.25, 18,295.52 and 4,411.33

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Solution

The fourth proportional to 12,204.25, 18,295.52 and 4,411.33 is: 6,613.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.25 : 18,295.52 = 4,411.33 : x
  2. Step 2: Convert to fraction form
    12,204.25/18,295.52 = 4,411.33/x
  3. Step 3: Cross multiply
    12,204.25x = 18,295.52 × 4,411.33
  4. Step 4: Simplify right side
    12,204.25x = 80,707,554.18
  5. Step 5: Solve for x
    x = 80,707,554.18/12,204.25
  6. Step 6: Final answer
    x = 6,613.07

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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.