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Finding the Fourth Proportional to 13,725.88, 18,942.06 and 8,423.62

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Solution

The fourth proportional to 13,725.88, 18,942.06 and 8,423.62 is: 11,624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725.88 : 18,942.06 = 8,423.62 : x
  2. Step 2: Convert to fraction form
    13,725.88/18,942.06 = 8,423.62/x
  3. Step 3: Cross multiply
    13,725.88x = 18,942.06 × 8,423.62
  4. Step 4: Simplify right side
    13,725.88x = 159,560,715.46
  5. Step 5: Solve for x
    x = 159,560,715.46/13,725.88
  6. Step 6: Final answer
    x = 11,624.81

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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.