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Finding the Fourth Proportional to 12,267, 18,400.68 and 3,033

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Solution

The fourth proportional to 12,267, 18,400.68 and 3,033 is: 4,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,267 : 18,400.68 = 3,033 : x
  2. Step 2: Convert to fraction form
    12,267/18,400.68 = 3,033/x
  3. Step 3: Cross multiply
    12,267x = 18,400.68 × 3,033
  4. Step 4: Simplify right side
    12,267x = 55,809,262.44
  5. Step 5: Solve for x
    x = 55,809,262.44/12,267
  6. Step 6: Final answer
    x = 4,549.54

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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.