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Finding the Fourth Proportional to 16,217.40, 24,282.16 and 8,409.84

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Solution

The fourth proportional to 16,217.40, 24,282.16 and 8,409.84 is: 12,591.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,217.40 : 24,282.16 = 8,409.84 : x
  2. Step 2: Convert to fraction form
    16,217.40/24,282.16 = 8,409.84/x
  3. Step 3: Cross multiply
    16,217.40x = 24,282.16 × 8,409.84
  4. Step 4: Simplify right side
    16,217.40x = 204,209,080.45
  5. Step 5: Solve for x
    x = 204,209,080.45/16,217.40
  6. Step 6: Final answer
    x = 12,591.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.