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Finding the Fourth Proportional to 16,737.25, 23,097.41 and 9,286.69

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Solution

The fourth proportional to 16,737.25, 23,097.41 and 9,286.69 is: 12,815.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,737.25 : 23,097.41 = 9,286.69 : x
  2. Step 2: Convert to fraction form
    16,737.25/23,097.41 = 9,286.69/x
  3. Step 3: Cross multiply
    16,737.25x = 23,097.41 × 9,286.69
  4. Step 4: Simplify right side
    16,737.25x = 214,498,486.47
  5. Step 5: Solve for x
    x = 214,498,486.47/16,737.25
  6. Step 6: Final answer
    x = 12,815.63

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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.