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Finding the Fourth Proportional to 18,416.50, 27,624.75 and 6,104.50

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Solution

The fourth proportional to 18,416.50, 27,624.75 and 6,104.50 is: 9,156.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,416.50 : 27,624.75 = 6,104.50 : x
  2. Step 2: Convert to fraction form
    18,416.50/27,624.75 = 6,104.50/x
  3. Step 3: Cross multiply
    18,416.50x = 27,624.75 × 6,104.50
  4. Step 4: Simplify right side
    18,416.50x = 168,635,286.38
  5. Step 5: Solve for x
    x = 168,635,286.38/18,416.50
  6. Step 6: Final answer
    x = 9,156.75

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Why These Related Problems?

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