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Finding the Fourth Proportional to 14,296.05, 21,448.41 and 5,414.10

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Solution

The fourth proportional to 14,296.05, 21,448.41 and 5,414.10 is: 8,122.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.05 : 21,448.41 = 5,414.10 : x
  2. Step 2: Convert to fraction form
    14,296.05/21,448.41 = 5,414.10/x
  3. Step 3: Cross multiply
    14,296.05x = 21,448.41 × 5,414.10
  4. Step 4: Simplify right side
    14,296.05x = 116,123,836.58
  5. Step 5: Solve for x
    x = 116,123,836.58/14,296.05
  6. Step 6: Final answer
    x = 8,122.79

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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.