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Finding the Fourth Proportional to 16,178.63, 24,257.89 and 6,813.83

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Solution

The fourth proportional to 16,178.63, 24,257.89 and 6,813.83 is: 10,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.63 : 24,257.89 = 6,813.83 : x
  2. Step 2: Convert to fraction form
    16,178.63/24,257.89 = 6,813.83/x
  3. Step 3: Cross multiply
    16,178.63x = 24,257.89 × 6,813.83
  4. Step 4: Simplify right side
    16,178.63x = 165,289,025.85
  5. Step 5: Solve for x
    x = 165,289,025.85/16,178.63
  6. Step 6: Final answer
    x = 10,216.50

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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.