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Finding the Fourth Proportional to 12,205.98, 16,843.56 and 6,901.02

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Solution

The fourth proportional to 12,205.98, 16,843.56 and 6,901.02 is: 9,523.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.98 : 16,843.56 = 6,901.02 : x
  2. Step 2: Convert to fraction form
    12,205.98/16,843.56 = 6,901.02/x
  3. Step 3: Cross multiply
    12,205.98x = 16,843.56 × 6,901.02
  4. Step 4: Simplify right side
    12,205.98x = 116,237,744.43
  5. Step 5: Solve for x
    x = 116,237,744.43/12,205.98
  6. Step 6: Final answer
    x = 9,523.02

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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.