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Finding the Fourth Proportional to 14,414.34, 21,593.46 and 8,155.41

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Solution

The fourth proportional to 14,414.34, 21,593.46 and 8,155.41 is: 12,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.34 : 21,593.46 = 8,155.41 : x
  2. Step 2: Convert to fraction form
    14,414.34/21,593.46 = 8,155.41/x
  3. Step 3: Cross multiply
    14,414.34x = 21,593.46 × 8,155.41
  4. Step 4: Simplify right side
    14,414.34x = 176,103,519.62
  5. Step 5: Solve for x
    x = 176,103,519.62/14,414.34
  6. Step 6: Final answer
    x = 12,217.24

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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.