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Finding the Fourth Proportional to 18,823.96, 28,229.34 and 7,727.50

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Solution

The fourth proportional to 18,823.96, 28,229.34 and 7,727.50 is: 11,588.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,823.96 : 28,229.34 = 7,727.50 : x
  2. Step 2: Convert to fraction form
    18,823.96/28,229.34 = 7,727.50/x
  3. Step 3: Cross multiply
    18,823.96x = 28,229.34 × 7,727.50
  4. Step 4: Simplify right side
    18,823.96x = 218,142,224.85
  5. Step 5: Solve for x
    x = 218,142,224.85/18,823.96
  6. Step 6: Final answer
    x = 11,588.54

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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.