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Finding the Fourth Proportional to 13,690.46, 18,769.64 and 13,441.34

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Solution

The fourth proportional to 13,690.46, 18,769.64 and 13,441.34 is: 18,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.46 : 18,769.64 = 13,441.34 : x
  2. Step 2: Convert to fraction form
    13,690.46/18,769.64 = 13,441.34/x
  3. Step 3: Cross multiply
    13,690.46x = 18,769.64 × 13,441.34
  4. Step 4: Simplify right side
    13,690.46x = 252,289,112.92
  5. Step 5: Solve for x
    x = 252,289,112.92/13,690.46
  6. Step 6: Final answer
    x = 18,428.10

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.