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Finding the Fourth Proportional to 16,536.76, 24,813.34 and 8,216.44

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Solution

The fourth proportional to 16,536.76, 24,813.34 and 8,216.44 is: 12,328.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.76 : 24,813.34 = 8,216.44 : x
  2. Step 2: Convert to fraction form
    16,536.76/24,813.34 = 8,216.44/x
  3. Step 3: Cross multiply
    16,536.76x = 24,813.34 × 8,216.44
  4. Step 4: Simplify right side
    16,536.76x = 203,877,236.74
  5. Step 5: Solve for x
    x = 203,877,236.74/16,536.76
  6. Step 6: Final answer
    x = 12,328.73

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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.