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Finding the Fourth Proportional to 14,414.49, 19,891.26 and 8,039.94

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Solution

The fourth proportional to 14,414.49, 19,891.26 and 8,039.94 is: 11,094.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.49 : 19,891.26 = 8,039.94 : x
  2. Step 2: Convert to fraction form
    14,414.49/19,891.26 = 8,039.94/x
  3. Step 3: Cross multiply
    14,414.49x = 19,891.26 × 8,039.94
  4. Step 4: Simplify right side
    14,414.49x = 159,924,536.92
  5. Step 5: Solve for x
    x = 159,924,536.92/14,414.49
  6. Step 6: Final answer
    x = 11,094.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.