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Finding the Fourth Proportional to 16,149.94, 22,287.16 and 9,076.36

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Solution

The fourth proportional to 16,149.94, 22,287.16 and 9,076.36 is: 12,525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149.94 : 22,287.16 = 9,076.36 : x
  2. Step 2: Convert to fraction form
    16,149.94/22,287.16 = 9,076.36/x
  3. Step 3: Cross multiply
    16,149.94x = 22,287.16 × 9,076.36
  4. Step 4: Simplify right side
    16,149.94x = 202,286,287.54
  5. Step 5: Solve for x
    x = 202,286,287.54/16,149.94
  6. Step 6: Final answer
    x = 12,525.51

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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.