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Finding the Fourth Proportional to 18,649.38, 27,947.82 and 9,280.56

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Solution

The fourth proportional to 18,649.38, 27,947.82 and 9,280.56 is: 13,907.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,649.38 : 27,947.82 = 9,280.56 : x
  2. Step 2: Convert to fraction form
    18,649.38/27,947.82 = 9,280.56/x
  3. Step 3: Cross multiply
    18,649.38x = 27,947.82 × 9,280.56
  4. Step 4: Simplify right side
    18,649.38x = 259,371,420.38
  5. Step 5: Solve for x
    x = 259,371,420.38/18,649.38
  6. Step 6: Final answer
    x = 13,907.78

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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.