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Finding the Fourth Proportional to 16,204.40, 24,287.40 and 8,409.20

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Solution

The fourth proportional to 16,204.40, 24,287.40 and 8,409.20 is: 12,603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.40 : 24,287.40 = 8,409.20 : x
  2. Step 2: Convert to fraction form
    16,204.40/24,287.40 = 8,409.20/x
  3. Step 3: Cross multiply
    16,204.40x = 24,287.40 × 8,409.20
  4. Step 4: Simplify right side
    16,204.40x = 204,237,604.08
  5. Step 5: Solve for x
    x = 204,237,604.08/16,204.40
  6. Step 6: Final answer
    x = 12,603.84

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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.