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Finding the Fourth Proportional to 11,423.10, 17,171.10 and 8,158.80

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Solution

The fourth proportional to 11,423.10, 17,171.10 and 8,158.80 is: 12,264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.10 : 17,171.10 = 8,158.80 : x
  2. Step 2: Convert to fraction form
    11,423.10/17,171.10 = 8,158.80/x
  3. Step 3: Cross multiply
    11,423.10x = 17,171.10 × 8,158.80
  4. Step 4: Simplify right side
    11,423.10x = 140,095,570.68
  5. Step 5: Solve for x
    x = 140,095,570.68/11,423.10
  6. Step 6: Final answer
    x = 12,264.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.