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Finding the Fourth Proportional to 16,841.38, 23,223.90 and 11,174.14

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Solution

The fourth proportional to 16,841.38, 23,223.90 and 11,174.14 is: 15,408.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,841.38 : 23,223.90 = 11,174.14 : x
  2. Step 2: Convert to fraction form
    16,841.38/23,223.90 = 11,174.14/x
  3. Step 3: Cross multiply
    16,841.38x = 23,223.90 × 11,174.14
  4. Step 4: Simplify right side
    16,841.38x = 259,507,109.95
  5. Step 5: Solve for x
    x = 259,507,109.95/16,841.38
  6. Step 6: Final answer
    x = 15,408.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.