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Finding the Fourth Proportional to 26,778.30, 40,169.40 and 8,056.86

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Solution

The fourth proportional to 26,778.30, 40,169.40 and 8,056.86 is: 12,085.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,778.30 : 40,169.40 = 8,056.86 : x
  2. Step 2: Convert to fraction form
    26,778.30/40,169.40 = 8,056.86/x
  3. Step 3: Cross multiply
    26,778.30x = 40,169.40 × 8,056.86
  4. Step 4: Simplify right side
    26,778.30x = 323,639,232.08
  5. Step 5: Solve for x
    x = 323,639,232.08/26,778.30
  6. Step 6: Final answer
    x = 12,085.88

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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.