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Finding the Fourth Proportional to 12,153.90, 16,771.82 and 8,174.37

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Solution

The fourth proportional to 12,153.90, 16,771.82 and 8,174.37 is: 11,280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.90 : 16,771.82 = 8,174.37 : x
  2. Step 2: Convert to fraction form
    12,153.90/16,771.82 = 8,174.37/x
  3. Step 3: Cross multiply
    12,153.90x = 16,771.82 × 8,174.37
  4. Step 4: Simplify right side
    12,153.90x = 137,099,021.38
  5. Step 5: Solve for x
    x = 137,099,021.38/12,153.90
  6. Step 6: Final answer
    x = 11,280.25

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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.