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Finding the Fourth Proportional to 16,201.22, 22,355.97 and 9,127.58

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Solution

The fourth proportional to 16,201.22, 22,355.97 and 9,127.58 is: 12,595.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.22 : 22,355.97 = 9,127.58 : x
  2. Step 2: Convert to fraction form
    16,201.22/22,355.97 = 9,127.58/x
  3. Step 3: Cross multiply
    16,201.22x = 22,355.97 × 9,127.58
  4. Step 4: Simplify right side
    16,201.22x = 204,055,904.65
  5. Step 5: Solve for x
    x = 204,055,904.65/16,201.22
  6. Step 6: Final answer
    x = 12,595.09

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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.