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Finding the Fourth Proportional to 26,209.96, 39,296.40 and 8,435.12

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Solution

The fourth proportional to 26,209.96, 39,296.40 and 8,435.12 is: 12,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,209.96 : 39,296.40 = 8,435.12 : x
  2. Step 2: Convert to fraction form
    26,209.96/39,296.40 = 8,435.12/x
  3. Step 3: Cross multiply
    26,209.96x = 39,296.40 × 8,435.12
  4. Step 4: Simplify right side
    26,209.96x = 331,469,849.57
  5. Step 5: Solve for x
    x = 331,469,849.57/26,209.96
  6. Step 6: Final answer
    x = 12,646.71

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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.