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Finding the Fourth Proportional to 13,744.56, 18,967.23 and 7,776.12

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Solution

The fourth proportional to 13,744.56, 18,967.23 and 7,776.12 is: 10,730.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.56 : 18,967.23 = 7,776.12 : x
  2. Step 2: Convert to fraction form
    13,744.56/18,967.23 = 7,776.12/x
  3. Step 3: Cross multiply
    13,744.56x = 18,967.23 × 7,776.12
  4. Step 4: Simplify right side
    13,744.56x = 147,491,456.55
  5. Step 5: Solve for x
    x = 147,491,456.55/13,744.56
  6. Step 6: Final answer
    x = 10,730.90

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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.