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Finding the Fourth Proportional to 16,633.58, 24,953.24 and 6,778.22

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Solution

The fourth proportional to 16,633.58, 24,953.24 and 6,778.22 is: 10,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,633.58 : 24,953.24 = 6,778.22 : x
  2. Step 2: Convert to fraction form
    16,633.58/24,953.24 = 6,778.22/x
  3. Step 3: Cross multiply
    16,633.58x = 24,953.24 × 6,778.22
  4. Step 4: Simplify right side
    16,633.58x = 169,138,442.61
  5. Step 5: Solve for x
    x = 169,138,442.61/16,633.58
  6. Step 6: Final answer
    x = 10,168.50

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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.