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Finding the Fourth Proportional to 14,416.64, 19,896.92 and 8,450.69

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Solution

The fourth proportional to 14,416.64, 19,896.92 and 8,450.69 is: 11,663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.64 : 19,896.92 = 8,450.69 : x
  2. Step 2: Convert to fraction form
    14,416.64/19,896.92 = 8,450.69/x
  3. Step 3: Cross multiply
    14,416.64x = 19,896.92 × 8,450.69
  4. Step 4: Simplify right side
    14,416.64x = 168,142,561.14
  5. Step 5: Solve for x
    x = 168,142,561.14/14,416.64
  6. Step 6: Final answer
    x = 11,663.09

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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.