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Finding the Fourth Proportional to 16,172.91, 22,317.42 and 9,097.97

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Solution

The fourth proportional to 16,172.91, 22,317.42 and 9,097.97 is: 12,554.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,172.91 : 22,317.42 = 9,097.97 : x
  2. Step 2: Convert to fraction form
    16,172.91/22,317.42 = 9,097.97/x
  3. Step 3: Cross multiply
    16,172.91x = 22,317.42 × 9,097.97
  4. Step 4: Simplify right side
    16,172.91x = 203,043,106.05
  5. Step 5: Solve for x
    x = 203,043,106.05/16,172.91
  6. Step 6: Final answer
    x = 12,554.52

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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.