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Finding the Fourth Proportional to 26,494, 39,759.23 and 10,911.63

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Solution

The fourth proportional to 26,494, 39,759.23 and 10,911.63 is: 16,374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,494 : 39,759.23 = 10,911.63 : x
  2. Step 2: Convert to fraction form
    26,494/39,759.23 = 10,911.63/x
  3. Step 3: Cross multiply
    26,494x = 39,759.23 × 10,911.63
  4. Step 4: Simplify right side
    26,494x = 433,838,006.84
  5. Step 5: Solve for x
    x = 433,838,006.84/26,494
  6. Step 6: Final answer
    x = 16,374.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.