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Finding the Fourth Proportional to 20,166.06, 30,249.05 and 8,326.50

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Solution

The fourth proportional to 20,166.06, 30,249.05 and 8,326.50 is: 12,489.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,166.06 : 30,249.05 = 8,326.50 : x
  2. Step 2: Convert to fraction form
    20,166.06/30,249.05 = 8,326.50/x
  3. Step 3: Cross multiply
    20,166.06x = 30,249.05 × 8,326.50
  4. Step 4: Simplify right side
    20,166.06x = 251,868,559.76
  5. Step 5: Solve for x
    x = 251,868,559.76/20,166.06
  6. Step 6: Final answer
    x = 12,489.72

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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.