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Finding the Fourth Proportional to 12,192.12, 16,826.94 and 9,826.92

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Solution

The fourth proportional to 12,192.12, 16,826.94 and 9,826.92 is: 13,562.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192.12 : 16,826.94 = 9,826.92 : x
  2. Step 2: Convert to fraction form
    12,192.12/16,826.94 = 9,826.92/x
  3. Step 3: Cross multiply
    12,192.12x = 16,826.94 × 9,826.92
  4. Step 4: Simplify right side
    12,192.12x = 165,356,993.22
  5. Step 5: Solve for x
    x = 165,356,993.22/12,192.12
  6. Step 6: Final answer
    x = 13,562.61

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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.