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Finding the Fourth Proportional to 20,135.89, 30,190.05 and 10,256.05

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Solution

The fourth proportional to 20,135.89, 30,190.05 and 10,256.05 is: 15,377.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,135.89 : 30,190.05 = 10,256.05 : x
  2. Step 2: Convert to fraction form
    20,135.89/30,190.05 = 10,256.05/x
  3. Step 3: Cross multiply
    20,135.89x = 30,190.05 × 10,256.05
  4. Step 4: Simplify right side
    20,135.89x = 309,630,662.30
  5. Step 5: Solve for x
    x = 309,630,662.30/20,135.89
  6. Step 6: Final answer
    x = 15,377.05

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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.