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Finding the Fourth Proportional to 12,193.56, 16,826.90 and 6,816.06

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Solution

The fourth proportional to 12,193.56, 16,826.90 and 6,816.06 is: 9,406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.56 : 16,826.90 = 6,816.06 : x
  2. Step 2: Convert to fraction form
    12,193.56/16,826.90 = 6,816.06/x
  3. Step 3: Cross multiply
    12,193.56x = 16,826.90 × 6,816.06
  4. Step 4: Simplify right side
    12,193.56x = 114,693,125.93
  5. Step 5: Solve for x
    x = 114,693,125.93/12,193.56
  6. Step 6: Final answer
    x = 9,406.04

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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.