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Finding the Fourth Proportional to 26,538.92, 39,817.02 and 12,689

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Solution

The fourth proportional to 26,538.92, 39,817.02 and 12,689 is: 19,037.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,538.92 : 39,817.02 = 12,689 : x
  2. Step 2: Convert to fraction form
    26,538.92/39,817.02 = 12,689/x
  3. Step 3: Cross multiply
    26,538.92x = 39,817.02 × 12,689
  4. Step 4: Simplify right side
    26,538.92x = 505,238,166.78
  5. Step 5: Solve for x
    x = 505,238,166.78/26,538.92
  6. Step 6: Final answer
    x = 19,037.63

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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.