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Finding the Fourth Proportional to 12,142.89, 16,758.05 and 6,765.69

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Solution

The fourth proportional to 12,142.89, 16,758.05 and 6,765.69 is: 9,337.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.89 : 16,758.05 = 6,765.69 : x
  2. Step 2: Convert to fraction form
    12,142.89/16,758.05 = 6,765.69/x
  3. Step 3: Cross multiply
    12,142.89x = 16,758.05 × 6,765.69
  4. Step 4: Simplify right side
    12,142.89x = 113,379,725.38
  5. Step 5: Solve for x
    x = 113,379,725.38/12,142.89
  6. Step 6: Final answer
    x = 9,337.13

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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.