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Finding the Fourth Proportional to 12,596.24, 18,892.20 and 5,200.40

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Solution

The fourth proportional to 12,596.24, 18,892.20 and 5,200.40 is: 7,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.24 : 18,892.20 = 5,200.40 : x
  2. Step 2: Convert to fraction form
    12,596.24/18,892.20 = 5,200.40/x
  3. Step 3: Cross multiply
    12,596.24x = 18,892.20 × 5,200.40
  4. Step 4: Simplify right side
    12,596.24x = 98,246,996.88
  5. Step 5: Solve for x
    x = 98,246,996.88/12,596.24
  6. Step 6: Final answer
    x = 7,799.71

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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.