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Finding the Fourth Proportional to 20,532.66, 30,799.86 and 8,051.58

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Solution

The fourth proportional to 20,532.66, 30,799.86 and 8,051.58 is: 12,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,532.66 : 30,799.86 = 8,051.58 : x
  2. Step 2: Convert to fraction form
    20,532.66/30,799.86 = 8,051.58/x
  3. Step 3: Cross multiply
    20,532.66x = 30,799.86 × 8,051.58
  4. Step 4: Simplify right side
    20,532.66x = 247,987,536.78
  5. Step 5: Solve for x
    x = 247,987,536.78/20,532.66
  6. Step 6: Final answer
    x = 12,077.71

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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.