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Finding the Fourth Proportional to 26,782.68, 36,958.34 and 16,178.16

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Solution

The fourth proportional to 26,782.68, 36,958.34 and 16,178.16 is: 22,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,782.68 : 36,958.34 = 16,178.16 : x
  2. Step 2: Convert to fraction form
    26,782.68/36,958.34 = 16,178.16/x
  3. Step 3: Cross multiply
    26,782.68x = 36,958.34 × 16,178.16
  4. Step 4: Simplify right side
    26,782.68x = 597,917,937.85
  5. Step 5: Solve for x
    x = 597,917,937.85/26,782.68
  6. Step 6: Final answer
    x = 22,324.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.