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Finding the Fourth Proportional to 20,658.81, 30,982.68 and 8,969.25

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Solution

The fourth proportional to 20,658.81, 30,982.68 and 8,969.25 is: 13,451.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658.81 : 30,982.68 = 8,969.25 : x
  2. Step 2: Convert to fraction form
    20,658.81/30,982.68 = 8,969.25/x
  3. Step 3: Cross multiply
    20,658.81x = 30,982.68 × 8,969.25
  4. Step 4: Simplify right side
    20,658.81x = 277,891,402.59
  5. Step 5: Solve for x
    x = 277,891,402.59/20,658.81
  6. Step 6: Final answer
    x = 13,451.47

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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.