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Finding the Fourth Proportional to 12,634.69, 18,945.34 and 3,867.25

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Solution

The fourth proportional to 12,634.69, 18,945.34 and 3,867.25 is: 5,798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.69 : 18,945.34 = 3,867.25 : x
  2. Step 2: Convert to fraction form
    12,634.69/18,945.34 = 3,867.25/x
  3. Step 3: Cross multiply
    12,634.69x = 18,945.34 × 3,867.25
  4. Step 4: Simplify right side
    12,634.69x = 73,266,346.78
  5. Step 5: Solve for x
    x = 73,266,346.78/12,634.69
  6. Step 6: Final answer
    x = 5,798.82

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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.