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Finding the Fourth Proportional to 16,594.99, 24,894.83 and 6,205.75

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Solution

The fourth proportional to 16,594.99, 24,894.83 and 6,205.75 is: 9,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,594.99 : 24,894.83 = 6,205.75 : x
  2. Step 2: Convert to fraction form
    16,594.99/24,894.83 = 6,205.75/x
  3. Step 3: Cross multiply
    16,594.99x = 24,894.83 × 6,205.75
  4. Step 4: Simplify right side
    16,594.99x = 154,491,091.27
  5. Step 5: Solve for x
    x = 154,491,091.27/16,594.99
  6. Step 6: Final answer
    x = 9,309.50

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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.