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Finding the Fourth Proportional to 12,087.38, 16,672.14 and 8,509.80

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Solution

The fourth proportional to 12,087.38, 16,672.14 and 8,509.80 is: 11,737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,087.38 : 16,672.14 = 8,509.80 : x
  2. Step 2: Convert to fraction form
    12,087.38/16,672.14 = 8,509.80/x
  3. Step 3: Cross multiply
    12,087.38x = 16,672.14 × 8,509.80
  4. Step 4: Simplify right side
    12,087.38x = 141,876,576.97
  5. Step 5: Solve for x
    x = 141,876,576.97/12,087.38
  6. Step 6: Final answer
    x = 11,737.58

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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.