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Finding the Fourth Proportional to 20,181.70, 30,272.55 and 6,141.70

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Solution

The fourth proportional to 20,181.70, 30,272.55 and 6,141.70 is: 9,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,181.70 : 30,272.55 = 6,141.70 : x
  2. Step 2: Convert to fraction form
    20,181.70/30,272.55 = 6,141.70/x
  3. Step 3: Cross multiply
    20,181.70x = 30,272.55 × 6,141.70
  4. Step 4: Simplify right side
    20,181.70x = 185,924,920.34
  5. Step 5: Solve for x
    x = 185,924,920.34/20,181.70
  6. Step 6: Final answer
    x = 9,212.55

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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.