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Finding the Fourth Proportional to 20,588.22, 30,882 and 6,548.04

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Solution

The fourth proportional to 20,588.22, 30,882 and 6,548.04 is: 9,821.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,588.22 : 30,882 = 6,548.04 : x
  2. Step 2: Convert to fraction form
    20,588.22/30,882 = 6,548.04/x
  3. Step 3: Cross multiply
    20,588.22x = 30,882 × 6,548.04
  4. Step 4: Simplify right side
    20,588.22x = 202,216,571.28
  5. Step 5: Solve for x
    x = 202,216,571.28/20,588.22
  6. Step 6: Final answer
    x = 9,821.96

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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.