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Finding the Fourth Proportional to 12,027.56, 16,602.67 and 10,766.38

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Solution

The fourth proportional to 12,027.56, 16,602.67 and 10,766.38 is: 14,861.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027.56 : 16,602.67 = 10,766.38 : x
  2. Step 2: Convert to fraction form
    12,027.56/16,602.67 = 10,766.38/x
  3. Step 3: Cross multiply
    12,027.56x = 16,602.67 × 10,766.38
  4. Step 4: Simplify right side
    12,027.56x = 178,750,654.23
  5. Step 5: Solve for x
    x = 178,750,654.23/12,027.56
  6. Step 6: Final answer
    x = 14,861.76

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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.