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Finding the Fourth Proportional to 23,907.64, 35,861.05 and 8,324.86

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Solution

The fourth proportional to 23,907.64, 35,861.05 and 8,324.86 is: 12,487.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,907.64 : 35,861.05 = 8,324.86 : x
  2. Step 2: Convert to fraction form
    23,907.64/35,861.05 = 8,324.86/x
  3. Step 3: Cross multiply
    23,907.64x = 35,861.05 × 8,324.86
  4. Step 4: Simplify right side
    23,907.64x = 298,538,232.11
  5. Step 5: Solve for x
    x = 298,538,232.11/23,907.64
  6. Step 6: Final answer
    x = 12,487.15

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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.