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Finding the Fourth Proportional to 12,192.12, 16,826.54 and 7,412.31

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Solution

The fourth proportional to 12,192.12, 16,826.54 and 7,412.31 is: 10,229.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192.12 : 16,826.54 = 7,412.31 : x
  2. Step 2: Convert to fraction form
    12,192.12/16,826.54 = 7,412.31/x
  3. Step 3: Cross multiply
    12,192.12x = 16,826.54 × 7,412.31
  4. Step 4: Simplify right side
    12,192.12x = 124,723,493.65
  5. Step 5: Solve for x
    x = 124,723,493.65/12,192.12
  6. Step 6: Final answer
    x = 10,229.84

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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.