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Finding the Fourth Proportional to 20,188.50, 30,283.83 and 6,338.58

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Solution

The fourth proportional to 20,188.50, 30,283.83 and 6,338.58 is: 9,508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188.50 : 30,283.83 = 6,338.58 : x
  2. Step 2: Convert to fraction form
    20,188.50/30,283.83 = 6,338.58/x
  3. Step 3: Cross multiply
    20,188.50x = 30,283.83 × 6,338.58
  4. Step 4: Simplify right side
    20,188.50x = 191,956,479.16
  5. Step 5: Solve for x
    x = 191,956,479.16/20,188.50
  6. Step 6: Final answer
    x = 9,508.21

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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.