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Finding the Fourth Proportional to 16,409.56, 24,579.42 and 8,594.68

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Solution

The fourth proportional to 16,409.56, 24,579.42 and 8,594.68 is: 12,873.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.56 : 24,579.42 = 8,594.68 : x
  2. Step 2: Convert to fraction form
    16,409.56/24,579.42 = 8,594.68/x
  3. Step 3: Cross multiply
    16,409.56x = 24,579.42 × 8,594.68
  4. Step 4: Simplify right side
    16,409.56x = 211,252,249.49
  5. Step 5: Solve for x
    x = 211,252,249.49/16,409.56
  6. Step 6: Final answer
    x = 12,873.73

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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.