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Finding the Fourth Proportional to 12,177.54, 18,267.12 and 3,412.80

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Solution

The fourth proportional to 12,177.54, 18,267.12 and 3,412.80 is: 5,119.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.54 : 18,267.12 = 3,412.80 : x
  2. Step 2: Convert to fraction form
    12,177.54/18,267.12 = 3,412.80/x
  3. Step 3: Cross multiply
    12,177.54x = 18,267.12 × 3,412.80
  4. Step 4: Simplify right side
    12,177.54x = 62,342,027.14
  5. Step 5: Solve for x
    x = 62,342,027.14/12,177.54
  6. Step 6: Final answer
    x = 5,119.43

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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.