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Finding the Fourth Proportional to 16,149.75, 22,286.56 and 9,076.17

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Solution

The fourth proportional to 16,149.75, 22,286.56 and 9,076.17 is: 12,525.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149.75 : 22,286.56 = 9,076.17 : x
  2. Step 2: Convert to fraction form
    16,149.75/22,286.56 = 9,076.17/x
  3. Step 3: Cross multiply
    16,149.75x = 22,286.56 × 9,076.17
  4. Step 4: Simplify right side
    16,149.75x = 202,276,607.28
  5. Step 5: Solve for x
    x = 202,276,607.28/16,149.75
  6. Step 6: Final answer
    x = 12,525.06

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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.