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Finding the Fourth Proportional to 18,188.96, 27,282.48 and 5,876

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Solution

The fourth proportional to 18,188.96, 27,282.48 and 5,876 is: 8,813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,188.96 : 27,282.48 = 5,876 : x
  2. Step 2: Convert to fraction form
    18,188.96/27,282.48 = 5,876/x
  3. Step 3: Cross multiply
    18,188.96x = 27,282.48 × 5,876
  4. Step 4: Simplify right side
    18,188.96x = 160,311,852.48
  5. Step 5: Solve for x
    x = 160,311,852.48/18,188.96
  6. Step 6: Final answer
    x = 8,813.69

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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.