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Finding the Fourth Proportional to 12,662.33, 18,993.50 and 3,302.33

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Solution

The fourth proportional to 12,662.33, 18,993.50 and 3,302.33 is: 4,953.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.33 : 18,993.50 = 3,302.33 : x
  2. Step 2: Convert to fraction form
    12,662.33/18,993.50 = 3,302.33/x
  3. Step 3: Cross multiply
    12,662.33x = 18,993.50 × 3,302.33
  4. Step 4: Simplify right side
    12,662.33x = 62,722,724.34
  5. Step 5: Solve for x
    x = 62,722,724.34/12,662.33
  6. Step 6: Final answer
    x = 4,953.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.