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Finding the Fourth Proportional to 26,205.83, 39,296.65 and 8,433.19

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Solution

The fourth proportional to 26,205.83, 39,296.65 and 8,433.19 is: 12,645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,205.83 : 39,296.65 = 8,433.19 : x
  2. Step 2: Convert to fraction form
    26,205.83/39,296.65 = 8,433.19/x
  3. Step 3: Cross multiply
    26,205.83x = 39,296.65 × 8,433.19
  4. Step 4: Simplify right side
    26,205.83x = 331,395,938.62
  5. Step 5: Solve for x
    x = 331,395,938.62/26,205.83
  6. Step 6: Final answer
    x = 12,645.88

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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.