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Finding the Fourth Proportional to 13,924.86, 20,874.50 and 6,022.43

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Solution

The fourth proportional to 13,924.86, 20,874.50 and 6,022.43 is: 9,028.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924.86 : 20,874.50 = 6,022.43 : x
  2. Step 2: Convert to fraction form
    13,924.86/20,874.50 = 6,022.43/x
  3. Step 3: Cross multiply
    13,924.86x = 20,874.50 × 6,022.43
  4. Step 4: Simplify right side
    13,924.86x = 125,715,184.92
  5. Step 5: Solve for x
    x = 125,715,184.92/13,924.86
  6. Step 6: Final answer
    x = 9,028.11

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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.