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Finding the Fourth Proportional to 11,684.50, 17,442.02 and 10,817.29

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Solution

The fourth proportional to 11,684.50, 17,442.02 and 10,817.29 is: 16,147.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.50 : 17,442.02 = 10,817.29 : x
  2. Step 2: Convert to fraction form
    11,684.50/17,442.02 = 10,817.29/x
  3. Step 3: Cross multiply
    11,684.50x = 17,442.02 × 10,817.29
  4. Step 4: Simplify right side
    11,684.50x = 188,675,388.53
  5. Step 5: Solve for x
    x = 188,675,388.53/11,684.50
  6. Step 6: Final answer
    x = 16,147.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.