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Finding the Fourth Proportional to 12,193.39, 16,826.29 and 6,816.07

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Solution

The fourth proportional to 12,193.39, 16,826.29 and 6,816.07 is: 9,405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.39 : 16,826.29 = 6,816.07 : x
  2. Step 2: Convert to fraction form
    12,193.39/16,826.29 = 6,816.07/x
  3. Step 3: Cross multiply
    12,193.39x = 16,826.29 × 6,816.07
  4. Step 4: Simplify right side
    12,193.39x = 114,689,170.48
  5. Step 5: Solve for x
    x = 114,689,170.48/12,193.39
  6. Step 6: Final answer
    x = 9,405.85

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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.