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Finding the Fourth Proportional to 16,640.80, 24,964.80 and 4,955.20

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Solution

The fourth proportional to 16,640.80, 24,964.80 and 4,955.20 is: 7,433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,640.80 : 24,964.80 = 4,955.20 : x
  2. Step 2: Convert to fraction form
    16,640.80/24,964.80 = 4,955.20/x
  3. Step 3: Cross multiply
    16,640.80x = 24,964.80 × 4,955.20
  4. Step 4: Simplify right side
    16,640.80x = 123,705,576.96
  5. Step 5: Solve for x
    x = 123,705,576.96/16,640.80
  6. Step 6: Final answer
    x = 7,433.87

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Why These Related Problems?

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