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Finding the Fourth Proportional to 12,232.20, 16,883.75 and 7,198.04

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Solution

The fourth proportional to 12,232.20, 16,883.75 and 7,198.04 is: 9,935.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.20 : 16,883.75 = 7,198.04 : x
  2. Step 2: Convert to fraction form
    12,232.20/16,883.75 = 7,198.04/x
  3. Step 3: Cross multiply
    12,232.20x = 16,883.75 × 7,198.04
  4. Step 4: Simplify right side
    12,232.20x = 121,529,841.43
  5. Step 5: Solve for x
    x = 121,529,841.43/12,232.20
  6. Step 6: Final answer
    x = 9,935.24

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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.