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Finding the Fourth Proportional to 22,504.81, 33,757.23 and 5,864.80

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Solution

The fourth proportional to 22,504.81, 33,757.23 and 5,864.80 is: 8,797.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,504.81 : 33,757.23 = 5,864.80 : x
  2. Step 2: Convert to fraction form
    22,504.81/33,757.23 = 5,864.80/x
  3. Step 3: Cross multiply
    22,504.81x = 33,757.23 × 5,864.80
  4. Step 4: Simplify right side
    22,504.81x = 197,979,402.50
  5. Step 5: Solve for x
    x = 197,979,402.50/22,504.81
  6. Step 6: Final answer
    x = 8,797.20

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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.