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Finding the Fourth Proportional to 14,414.37, 19,892.52 and 8,448.09

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Solution

The fourth proportional to 14,414.37, 19,892.52 and 8,448.09 is: 11,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.37 : 19,892.52 = 8,448.09 : x
  2. Step 2: Convert to fraction form
    14,414.37/19,892.52 = 8,448.09/x
  3. Step 3: Cross multiply
    14,414.37x = 19,892.52 × 8,448.09
  4. Step 4: Simplify right side
    14,414.37x = 168,053,799.29
  5. Step 5: Solve for x
    x = 168,053,799.29/14,414.37
  6. Step 6: Final answer
    x = 11,658.77

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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.