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Finding the Fourth Proportional to 26,782.57, 36,932.79 and 16,165.90

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Solution

The fourth proportional to 26,782.57, 36,932.79 and 16,165.90 is: 22,292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,782.57 : 36,932.79 = 16,165.90 : x
  2. Step 2: Convert to fraction form
    26,782.57/36,932.79 = 16,165.90/x
  3. Step 3: Cross multiply
    26,782.57x = 36,932.79 × 16,165.90
  4. Step 4: Simplify right side
    26,782.57x = 597,051,789.86
  5. Step 5: Solve for x
    x = 597,051,789.86/26,782.57
  6. Step 6: Final answer
    x = 22,292.55

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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.