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Finding the Fourth Proportional to 18,286.28, 27,391.15 and 11,678.84

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Solution

The fourth proportional to 18,286.28, 27,391.15 and 11,678.84 is: 17,493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,286.28 : 27,391.15 = 11,678.84 : x
  2. Step 2: Convert to fraction form
    18,286.28/27,391.15 = 11,678.84/x
  3. Step 3: Cross multiply
    18,286.28x = 27,391.15 × 11,678.84
  4. Step 4: Simplify right side
    18,286.28x = 319,896,941.34
  5. Step 5: Solve for x
    x = 319,896,941.34/18,286.28
  6. Step 6: Final answer
    x = 17,493.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.