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Finding the Fourth Proportional to 14,416.17, 19,896.24 and 8,450.21

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Solution

The fourth proportional to 14,416.17, 19,896.24 and 8,450.21 is: 11,662.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.17 : 19,896.24 = 8,450.21 : x
  2. Step 2: Convert to fraction form
    14,416.17/19,896.24 = 8,450.21/x
  3. Step 3: Cross multiply
    14,416.17x = 19,896.24 × 8,450.21
  4. Step 4: Simplify right side
    14,416.17x = 168,127,306.73
  5. Step 5: Solve for x
    x = 168,127,306.73/14,416.17
  6. Step 6: Final answer
    x = 11,662.41

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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.