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Finding the Fourth Proportional to 13,738.68, 18,954.04 and 8,964.24

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Solution

The fourth proportional to 13,738.68, 18,954.04 and 8,964.24 is: 12,367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.68 : 18,954.04 = 8,964.24 : x
  2. Step 2: Convert to fraction form
    13,738.68/18,954.04 = 8,964.24/x
  3. Step 3: Cross multiply
    13,738.68x = 18,954.04 × 8,964.24
  4. Step 4: Simplify right side
    13,738.68x = 169,908,563.53
  5. Step 5: Solve for x
    x = 169,908,563.53/13,738.68
  6. Step 6: Final answer
    x = 12,367.17

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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.