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Finding the Fourth Proportional to 13,711.13, 18,921.36 and 7,743.18

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Solution

The fourth proportional to 13,711.13, 18,921.36 and 7,743.18 is: 10,685.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.13 : 18,921.36 = 7,743.18 : x
  2. Step 2: Convert to fraction form
    13,711.13/18,921.36 = 7,743.18/x
  3. Step 3: Cross multiply
    13,711.13x = 18,921.36 × 7,743.18
  4. Step 4: Simplify right side
    13,711.13x = 146,511,496.32
  5. Step 5: Solve for x
    x = 146,511,496.32/13,711.13
  6. Step 6: Final answer
    x = 10,685.59

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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.