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Finding the Fourth Proportional to 11,928.30, 16,433.98 and 9,230.24

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Solution

The fourth proportional to 11,928.30, 16,433.98 and 9,230.24 is: 12,716.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,928.30 : 16,433.98 = 9,230.24 : x
  2. Step 2: Convert to fraction form
    11,928.30/16,433.98 = 9,230.24/x
  3. Step 3: Cross multiply
    11,928.30x = 16,433.98 × 9,230.24
  4. Step 4: Simplify right side
    11,928.30x = 151,689,597.56
  5. Step 5: Solve for x
    x = 151,689,597.56/11,928.30
  6. Step 6: Final answer
    x = 12,716.78

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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.