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Finding the Fourth Proportional to 12,205.12, 16,843.08 and 6,616.12

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Solution

The fourth proportional to 12,205.12, 16,843.08 and 6,616.12 is: 9,130.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.12 : 16,843.08 = 6,616.12 : x
  2. Step 2: Convert to fraction form
    12,205.12/16,843.08 = 6,616.12/x
  3. Step 3: Cross multiply
    12,205.12x = 16,843.08 × 6,616.12
  4. Step 4: Simplify right side
    12,205.12x = 111,435,838.45
  5. Step 5: Solve for x
    x = 111,435,838.45/12,205.12
  6. Step 6: Final answer
    x = 9,130.25

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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.