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Finding the Fourth Proportional to 19,930.86, 29,893.86 and 8,242.56

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Solution

The fourth proportional to 19,930.86, 29,893.86 and 8,242.56 is: 12,362.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,930.86 : 29,893.86 = 8,242.56 : x
  2. Step 2: Convert to fraction form
    19,930.86/29,893.86 = 8,242.56/x
  3. Step 3: Cross multiply
    19,930.86x = 29,893.86 × 8,242.56
  4. Step 4: Simplify right side
    19,930.86x = 246,401,934.68
  5. Step 5: Solve for x
    x = 246,401,934.68/19,930.86
  6. Step 6: Final answer
    x = 12,362.84

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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.