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Finding the Fourth Proportional to 12,205.35, 16,813.26 and 10,406.97

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Solution

The fourth proportional to 12,205.35, 16,813.26 and 10,406.97 is: 14,335.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.35 : 16,813.26 = 10,406.97 : x
  2. Step 2: Convert to fraction form
    12,205.35/16,813.26 = 10,406.97/x
  3. Step 3: Cross multiply
    12,205.35x = 16,813.26 × 10,406.97
  4. Step 4: Simplify right side
    12,205.35x = 174,975,194.50
  5. Step 5: Solve for x
    x = 174,975,194.50/12,205.35
  6. Step 6: Final answer
    x = 14,335.94

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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.