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Finding the Fourth Proportional to 26,708.30, 40,069.89 and 11,716.82

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Solution

The fourth proportional to 26,708.30, 40,069.89 and 11,716.82 is: 17,578.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,708.30 : 40,069.89 = 11,716.82 : x
  2. Step 2: Convert to fraction form
    26,708.30/40,069.89 = 11,716.82/x
  3. Step 3: Cross multiply
    26,708.30x = 40,069.89 × 11,716.82
  4. Step 4: Simplify right side
    26,708.30x = 469,491,638.46
  5. Step 5: Solve for x
    x = 469,491,638.46/26,708.30
  6. Step 6: Final answer
    x = 17,578.49

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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.