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Finding the Fourth Proportional to 14,414.09, 19,891.44 and 8,126.46

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Solution

The fourth proportional to 14,414.09, 19,891.44 and 8,126.46 is: 11,214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.09 : 19,891.44 = 8,126.46 : x
  2. Step 2: Convert to fraction form
    14,414.09/19,891.44 = 8,126.46/x
  3. Step 3: Cross multiply
    14,414.09x = 19,891.44 × 8,126.46
  4. Step 4: Simplify right side
    14,414.09x = 161,646,991.50
  5. Step 5: Solve for x
    x = 161,646,991.50/14,414.09
  6. Step 6: Final answer
    x = 11,214.52

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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.