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Finding the Fourth Proportional to 26,206.18, 39,315.42 and 8,676

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Solution

The fourth proportional to 26,206.18, 39,315.42 and 8,676 is: 13,016.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,206.18 : 39,315.42 = 8,676 : x
  2. Step 2: Convert to fraction form
    26,206.18/39,315.42 = 8,676/x
  3. Step 3: Cross multiply
    26,206.18x = 39,315.42 × 8,676
  4. Step 4: Simplify right side
    26,206.18x = 341,100,583.92
  5. Step 5: Solve for x
    x = 341,100,583.92/26,206.18
  6. Step 6: Final answer
    x = 13,016.04

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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.