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Finding the Fourth Proportional to 14,843.14, 22,268.50 and 10,940.86

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Solution

The fourth proportional to 14,843.14, 22,268.50 and 10,940.86 is: 16,414.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,843.14 : 22,268.50 = 10,940.86 : x
  2. Step 2: Convert to fraction form
    14,843.14/22,268.50 = 10,940.86/x
  3. Step 3: Cross multiply
    14,843.14x = 22,268.50 × 10,940.86
  4. Step 4: Simplify right side
    14,843.14x = 243,636,540.91
  5. Step 5: Solve for x
    x = 243,636,540.91/14,843.14
  6. Step 6: Final answer
    x = 16,414.08

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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.