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Finding the Fourth Proportional to 16,124.50, 24,193.68 and 8,338.78

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Solution

The fourth proportional to 16,124.50, 24,193.68 and 8,338.78 is: 12,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,124.50 : 24,193.68 = 8,338.78 : x
  2. Step 2: Convert to fraction form
    16,124.50/24,193.68 = 8,338.78/x
  3. Step 3: Cross multiply
    16,124.50x = 24,193.68 × 8,338.78
  4. Step 4: Simplify right side
    16,124.50x = 201,745,714.43
  5. Step 5: Solve for x
    x = 201,745,714.43/16,124.50
  6. Step 6: Final answer
    x = 12,511.75

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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.