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Finding the Fourth Proportional to 12,186.02, 16,826.94 and 8,220.26

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Solution

The fourth proportional to 12,186.02, 16,826.94 and 8,220.26 is: 11,350.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.02 : 16,826.94 = 8,220.26 : x
  2. Step 2: Convert to fraction form
    12,186.02/16,826.94 = 8,220.26/x
  3. Step 3: Cross multiply
    12,186.02x = 16,826.94 × 8,220.26
  4. Step 4: Simplify right side
    12,186.02x = 138,321,821.80
  5. Step 5: Solve for x
    x = 138,321,821.80/12,186.02
  6. Step 6: Final answer
    x = 11,350.86

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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.