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Finding the Fourth Proportional to 16,408.56, 24,577.92 and 8,593.68

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Solution

The fourth proportional to 16,408.56, 24,577.92 and 8,593.68 is: 12,872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.56 : 24,577.92 = 8,593.68 : x
  2. Step 2: Convert to fraction form
    16,408.56/24,577.92 = 8,593.68/x
  3. Step 3: Cross multiply
    16,408.56x = 24,577.92 × 8,593.68
  4. Step 4: Simplify right side
    16,408.56x = 211,214,779.55
  5. Step 5: Solve for x
    x = 211,214,779.55/16,408.56
  6. Step 6: Final answer
    x = 12,872.23

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1.5x scale

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.