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Finding the Fourth Proportional to 16,838.27, 23,238.19 and 9,286.08

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Solution

The fourth proportional to 16,838.27, 23,238.19 and 9,286.08 is: 12,815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838.27 : 23,238.19 = 9,286.08 : x
  2. Step 2: Convert to fraction form
    16,838.27/23,238.19 = 9,286.08/x
  3. Step 3: Cross multiply
    16,838.27x = 23,238.19 × 9,286.08
  4. Step 4: Simplify right side
    16,838.27x = 215,791,691.40
  5. Step 5: Solve for x
    x = 215,791,691.40/16,838.27
  6. Step 6: Final answer
    x = 12,815.55

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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.