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Finding the Fourth Proportional to 22,427.67, 30,947.87 and 13,812.48

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Solution

The fourth proportional to 22,427.67, 30,947.87 and 13,812.48 is: 19,059.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,427.67 : 30,947.87 = 13,812.48 : x
  2. Step 2: Convert to fraction form
    22,427.67/30,947.87 = 13,812.48/x
  3. Step 3: Cross multiply
    22,427.67x = 30,947.87 × 13,812.48
  4. Step 4: Simplify right side
    22,427.67x = 427,466,766.36
  5. Step 5: Solve for x
    x = 427,466,766.36/22,427.67
  6. Step 6: Final answer
    x = 19,059.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.