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Finding the Fourth Proportional to 16,408.56, 24,614.77 and 8,081.56

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Solution

The fourth proportional to 16,408.56, 24,614.77 and 8,081.56 is: 12,123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.56 : 24,614.77 = 8,081.56 : x
  2. Step 2: Convert to fraction form
    16,408.56/24,614.77 = 8,081.56/x
  3. Step 3: Cross multiply
    16,408.56x = 24,614.77 × 8,081.56
  4. Step 4: Simplify right side
    16,408.56x = 198,925,740.64
  5. Step 5: Solve for x
    x = 198,925,740.64/16,408.56
  6. Step 6: Final answer
    x = 12,123.29

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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.