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Finding the Fourth Proportional to 18,668.46, 27,982.02 and 7,571.86

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Solution

The fourth proportional to 18,668.46, 27,982.02 and 7,571.86 is: 11,349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,668.46 : 27,982.02 = 7,571.86 : x
  2. Step 2: Convert to fraction form
    18,668.46/27,982.02 = 7,571.86/x
  3. Step 3: Cross multiply
    18,668.46x = 27,982.02 × 7,571.86
  4. Step 4: Simplify right side
    18,668.46x = 211,875,937.96
  5. Step 5: Solve for x
    x = 211,875,937.96/18,668.46
  6. Step 6: Final answer
    x = 11,349.41

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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.