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Finding the Fourth Proportional to 13,743.66, 18,964.64 and 7,694.23

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Solution

The fourth proportional to 13,743.66, 18,964.64 and 7,694.23 is: 10,617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743.66 : 18,964.64 = 7,694.23 : x
  2. Step 2: Convert to fraction form
    13,743.66/18,964.64 = 7,694.23/x
  3. Step 3: Cross multiply
    13,743.66x = 18,964.64 × 7,694.23
  4. Step 4: Simplify right side
    13,743.66x = 145,918,207.20
  5. Step 5: Solve for x
    x = 145,918,207.20/13,743.66
  6. Step 6: Final answer
    x = 10,617.13

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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.