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Finding the Fourth Proportional to 23,861.76, 35,777.93 and 8,065.30

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Solution

The fourth proportional to 23,861.76, 35,777.93 and 8,065.30 is: 12,092.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,861.76 : 35,777.93 = 8,065.30 : x
  2. Step 2: Convert to fraction form
    23,861.76/35,777.93 = 8,065.30/x
  3. Step 3: Cross multiply
    23,861.76x = 35,777.93 × 8,065.30
  4. Step 4: Simplify right side
    23,861.76x = 288,559,559.94
  5. Step 5: Solve for x
    x = 288,559,559.94/23,861.76
  6. Step 6: Final answer
    x = 12,092.97

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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.