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Finding the Fourth Proportional to 16,172.97, 22,317.12 and 9,099.24

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Solution

The fourth proportional to 16,172.97, 22,317.12 and 9,099.24 is: 12,556.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,172.97 : 22,317.12 = 9,099.24 : x
  2. Step 2: Convert to fraction form
    16,172.97/22,317.12 = 9,099.24/x
  3. Step 3: Cross multiply
    16,172.97x = 22,317.12 × 9,099.24
  4. Step 4: Simplify right side
    16,172.97x = 203,068,830.99
  5. Step 5: Solve for x
    x = 203,068,830.99/16,172.97
  6. Step 6: Final answer
    x = 12,556.06

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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.