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Finding the Fourth Proportional to 16,450.31, 22,701.38 and 8,896.59

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Solution

The fourth proportional to 16,450.31, 22,701.38 and 8,896.59 is: 12,277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,450.31 : 22,701.38 = 8,896.59 : x
  2. Step 2: Convert to fraction form
    16,450.31/22,701.38 = 8,896.59/x
  3. Step 3: Cross multiply
    16,450.31x = 22,701.38 × 8,896.59
  4. Step 4: Simplify right side
    16,450.31x = 201,964,825.81
  5. Step 5: Solve for x
    x = 201,964,825.81/16,450.31
  6. Step 6: Final answer
    x = 12,277.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.