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Finding the Fourth Proportional to 26,799, 40,198.23 and 11,012.64

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Solution

The fourth proportional to 26,799, 40,198.23 and 11,012.64 is: 16,518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,799 : 40,198.23 = 11,012.64 : x
  2. Step 2: Convert to fraction form
    26,799/40,198.23 = 11,012.64/x
  3. Step 3: Cross multiply
    26,799x = 40,198.23 × 11,012.64
  4. Step 4: Simplify right side
    26,799x = 442,688,635.63
  5. Step 5: Solve for x
    x = 442,688,635.63/26,799
  6. Step 6: Final answer
    x = 16,518.85

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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.