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Finding the Fourth Proportional to 26,776.20, 40,164.30 and 16,408.20

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Solution

The fourth proportional to 26,776.20, 40,164.30 and 16,408.20 is: 24,612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,776.20 : 40,164.30 = 16,408.20 : x
  2. Step 2: Convert to fraction form
    26,776.20/40,164.30 = 16,408.20/x
  3. Step 3: Cross multiply
    26,776.20x = 40,164.30 × 16,408.20
  4. Step 4: Simplify right side
    26,776.20x = 659,023,867.26
  5. Step 5: Solve for x
    x = 659,023,867.26/26,776.20
  6. Step 6: Final answer
    x = 24,612.30

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