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Finding the Fourth Proportional to 22,384.10, 33,576.15 and 5,744.13

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Solution

The fourth proportional to 22,384.10, 33,576.15 and 5,744.13 is: 8,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384.10 : 33,576.15 = 5,744.13 : x
  2. Step 2: Convert to fraction form
    22,384.10/33,576.15 = 5,744.13/x
  3. Step 3: Cross multiply
    22,384.10x = 33,576.15 × 5,744.13
  4. Step 4: Simplify right side
    22,384.10x = 192,865,770.50
  5. Step 5: Solve for x
    x = 192,865,770.50/22,384.10
  6. Step 6: Final answer
    x = 8,616.20

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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.