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Finding the Fourth Proportional to 13,729.92, 18,947.34 and 7,442.28

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Solution

The fourth proportional to 13,729.92, 18,947.34 and 7,442.28 is: 10,270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.92 : 18,947.34 = 7,442.28 : x
  2. Step 2: Convert to fraction form
    13,729.92/18,947.34 = 7,442.28/x
  3. Step 3: Cross multiply
    13,729.92x = 18,947.34 × 7,442.28
  4. Step 4: Simplify right side
    13,729.92x = 141,011,409.54
  5. Step 5: Solve for x
    x = 141,011,409.54/13,729.92
  6. Step 6: Final answer
    x = 10,270.37

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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.