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Finding the Fourth Proportional to 13,729.68, 18,947.12 and 7,442.19

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Solution

The fourth proportional to 13,729.68, 18,947.12 and 7,442.19 is: 10,270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.68 : 18,947.12 = 7,442.19 : x
  2. Step 2: Convert to fraction form
    13,729.68/18,947.12 = 7,442.19/x
  3. Step 3: Cross multiply
    13,729.68x = 18,947.12 × 7,442.19
  4. Step 4: Simplify right side
    13,729.68x = 141,008,029.78
  5. Step 5: Solve for x
    x = 141,008,029.78/13,729.68
  6. Step 6: Final answer
    x = 10,270.31

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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.