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Finding the Fourth Proportional to 26,960.96, 40,415.52 and 8,480

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Solution

The fourth proportional to 26,960.96, 40,415.52 and 8,480 is: 12,711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,960.96 : 40,415.52 = 8,480 : x
  2. Step 2: Convert to fraction form
    26,960.96/40,415.52 = 8,480/x
  3. Step 3: Cross multiply
    26,960.96x = 40,415.52 × 8,480
  4. Step 4: Simplify right side
    26,960.96x = 342,723,609.60
  5. Step 5: Solve for x
    x = 342,723,609.60/26,960.96
  6. Step 6: Final answer
    x = 12,711.85

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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.