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Finding the Fourth Proportional to 12,243.82, 18,365.28 and 3,478.70

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Solution

The fourth proportional to 12,243.82, 18,365.28 and 3,478.70 is: 5,217.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,243.82 : 18,365.28 = 3,478.70 : x
  2. Step 2: Convert to fraction form
    12,243.82/18,365.28 = 3,478.70/x
  3. Step 3: Cross multiply
    12,243.82x = 18,365.28 × 3,478.70
  4. Step 4: Simplify right side
    12,243.82x = 63,887,299.54
  5. Step 5: Solve for x
    x = 63,887,299.54/12,243.82
  6. Step 6: Final answer
    x = 5,217.92

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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.