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Finding the Fourth Proportional to 12,105.92, 18,154.88 and 3,896

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Solution

The fourth proportional to 12,105.92, 18,154.88 and 3,896 is: 5,842.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.92 : 18,154.88 = 3,896 : x
  2. Step 2: Convert to fraction form
    12,105.92/18,154.88 = 3,896/x
  3. Step 3: Cross multiply
    12,105.92x = 18,154.88 × 3,896
  4. Step 4: Simplify right side
    12,105.92x = 70,731,412.48
  5. Step 5: Solve for x
    x = 70,731,412.48/12,105.92
  6. Step 6: Final answer
    x = 5,842.71

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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.