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Finding the Fourth Proportional to 12,049.31, 16,627.24 and 6,671.57

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Solution

The fourth proportional to 12,049.31, 16,627.24 and 6,671.57 is: 9,206.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.31 : 16,627.24 = 6,671.57 : x
  2. Step 2: Convert to fraction form
    12,049.31/16,627.24 = 6,671.57/x
  3. Step 3: Cross multiply
    12,049.31x = 16,627.24 × 6,671.57
  4. Step 4: Simplify right side
    12,049.31x = 110,929,692.62
  5. Step 5: Solve for x
    x = 110,929,692.62/12,049.31
  6. Step 6: Final answer
    x = 9,206.31

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