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Finding the Fourth Proportional to 20,800.85, 31,196.68 and 6,006.54

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Solution

The fourth proportional to 20,800.85, 31,196.68 and 6,006.54 is: 9,008.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800.85 : 31,196.68 = 6,006.54 : x
  2. Step 2: Convert to fraction form
    20,800.85/31,196.68 = 6,006.54/x
  3. Step 3: Cross multiply
    20,800.85x = 31,196.68 × 6,006.54
  4. Step 4: Simplify right side
    20,800.85x = 187,384,208.26
  5. Step 5: Solve for x
    x = 187,384,208.26/20,800.85
  6. Step 6: Final answer
    x = 9,008.49

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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.