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Finding the Fourth Proportional to 16,166.29, 22,309.68 and 9,092.71

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Solution

The fourth proportional to 16,166.29, 22,309.68 and 9,092.71 is: 12,548.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,166.29 : 22,309.68 = 9,092.71 : x
  2. Step 2: Convert to fraction form
    16,166.29/22,309.68 = 9,092.71/x
  3. Step 3: Cross multiply
    16,166.29x = 22,309.68 × 9,092.71
  4. Step 4: Simplify right side
    16,166.29x = 202,855,450.43
  5. Step 5: Solve for x
    x = 202,855,450.43/16,166.29
  6. Step 6: Final answer
    x = 12,548.05

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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.