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Finding the Fourth Proportional to 12,207.53, 16,846.41 and 6,618.53

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Solution

The fourth proportional to 12,207.53, 16,846.41 and 6,618.53 is: 9,133.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.53 : 16,846.41 = 6,618.53 : x
  2. Step 2: Convert to fraction form
    12,207.53/16,846.41 = 6,618.53/x
  3. Step 3: Cross multiply
    12,207.53x = 16,846.41 × 6,618.53
  4. Step 4: Simplify right side
    12,207.53x = 111,498,469.98
  5. Step 5: Solve for x
    x = 111,498,469.98/12,207.53
  6. Step 6: Final answer
    x = 9,133.58

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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.