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Finding the Fourth Proportional to 20,171.55, 30,257.54 and 6,133.86

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Solution

The fourth proportional to 20,171.55, 30,257.54 and 6,133.86 is: 9,200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171.55 : 30,257.54 = 6,133.86 : x
  2. Step 2: Convert to fraction form
    20,171.55/30,257.54 = 6,133.86/x
  3. Step 3: Cross multiply
    20,171.55x = 30,257.54 × 6,133.86
  4. Step 4: Simplify right side
    20,171.55x = 185,595,514.30
  5. Step 5: Solve for x
    x = 185,595,514.30/20,171.55
  6. Step 6: Final answer
    x = 9,200.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.