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Finding the Fourth Proportional to 16,172.88, 22,318.31 and 9,099.32

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Solution

The fourth proportional to 16,172.88, 22,318.31 and 9,099.32 is: 12,556.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,172.88 : 22,318.31 = 9,099.32 : x
  2. Step 2: Convert to fraction form
    16,172.88/22,318.31 = 9,099.32/x
  3. Step 3: Cross multiply
    16,172.88x = 22,318.31 × 9,099.32
  4. Step 4: Simplify right side
    16,172.88x = 203,081,355.71
  5. Step 5: Solve for x
    x = 203,081,355.71/16,172.88
  6. Step 6: Final answer
    x = 12,556.91

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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.