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Finding the Fourth Proportional to 16,172.68, 22,317.09 and 9,097.73

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Solution

The fourth proportional to 16,172.68, 22,317.09 and 9,097.73 is: 12,554.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,172.68 : 22,317.09 = 9,097.73 : x
  2. Step 2: Convert to fraction form
    16,172.68/22,317.09 = 9,097.73/x
  3. Step 3: Cross multiply
    16,172.68x = 22,317.09 × 9,097.73
  4. Step 4: Simplify right side
    16,172.68x = 203,034,859.21
  5. Step 5: Solve for x
    x = 203,034,859.21/16,172.68
  6. Step 6: Final answer
    x = 12,554.19

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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.