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Finding the Fourth Proportional to 13,743.57, 18,964.98 and 7,773.87

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Solution

The fourth proportional to 13,743.57, 18,964.98 and 7,773.87 is: 10,727.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743.57 : 18,964.98 = 7,773.87 : x
  2. Step 2: Convert to fraction form
    13,743.57/18,964.98 = 7,773.87/x
  3. Step 3: Cross multiply
    13,743.57x = 18,964.98 × 7,773.87
  4. Step 4: Simplify right side
    13,743.57x = 147,431,289.07
  5. Step 5: Solve for x
    x = 147,431,289.07/13,743.57
  6. Step 6: Final answer
    x = 10,727.29

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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.