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Finding the Fourth Proportional to 16,172.26, 22,315.92 and 9,098.54

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Solution

The fourth proportional to 16,172.26, 22,315.92 and 9,098.54 is: 12,554.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,172.26 : 22,315.92 = 9,098.54 : x
  2. Step 2: Convert to fraction form
    16,172.26/22,315.92 = 9,098.54/x
  3. Step 3: Cross multiply
    16,172.26x = 22,315.92 × 9,098.54
  4. Step 4: Simplify right side
    16,172.26x = 203,042,290.76
  5. Step 5: Solve for x
    x = 203,042,290.76/16,172.26
  6. Step 6: Final answer
    x = 12,554.97

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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.